The perimeter of an isosceles triangle is 36 cm. If the base is 10 cm, the area of the triangle is .... cm2. (Pythagorean Theorem)
1. The perimeter of an isosceles triangle is 36 cm. If the base is 10 cm, the area of the triangle is .... cm2. (Pythagorean Theorem)
Penjelasan dengan langkah-langkah:
½ kali 10 kali 36 =
10 kali 36 : 2 =
360 : 2 = 180 cm²
maaf kalo salah ^_^
Pythagorean Theorem"In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".
Question:
The perimeter of an isosceles triangle is 36 cm. If the base is 10 cm of length, the area of the triangle is ... cm²
Step by step:
Isosceles triangle have 36 cm of its perimeter. The perimeter of triangle is calculated by sum of each side.
Finding length of each leg (x):
36 cm = 10 + x + x
36 = 10 + 2x
26 = 2x
x = 13 cm.
To find the height of triangle, use pythagorean theorem. Let height is written by "y".
[tex]\displaystyle\\y = \sqrt{13^2 - 5^2}\\\\y = \sqrt{169 - 25}\\\\y = \sqrt{144}\\\\y = 12~\text{cm}[/tex]
Calculate the area:
[tex]\text{Area of triangle:}\\\\\boxed{\frac{\text{base}\times\text{height}}{2}}[/tex]
[tex]\displaystyle= \frac{10 \times 12}{2}\\\\= \frac{120}{2}\\\\= 60~\text{cm}^2[/tex]
Conclusion:
The area of an isosceles triangle with 10 cm length of base and 36 cm of its perimeter is 60 cm²
============================
Lesson Category:
(based of the Indonesian Curriculum)
Class: 8th grade of junior high schoolSubject: MathematicsLesson Category: Pythagorean TheoremLesson Code: 8.2.42. The lenght of the legs of an isosceles triangle is 4 meters more than its base. If the perimeter of the triangle is 44 meter. Determine the lenghts of the sides of the triangle!bantuin plisss
Jawaban:
4meter x 44meter = 176 meter
Penjelasan dengan langkah-langkah:
Sisi x sisi x sisi
Isosceles triangle = segitiga sama kaki.parimeter = keliling
k= 44m..
kaki nya = 4cm lebih dari sisi bawah.
caranya
K = a + b + c
44 = (4+x) + (4+x) + x
44 = 8 + 3x
44-8 = 3x
36 = 3x
x = 36/3
x = 12
berarti sisi nya =
kaki = 12+ 4 = 16m
sisi bawah = 12m
ini ya kak jawabannya ..
3. (1)Maing Unknown AnglesIn the following figure, triangle LMO is an equilateral triangle andtriangle MNO is an isosceles triangle. Find ZMNOLM MN12]In the following figure, triangle PQT is an equilateral triangleTriangle PRS is an isosceles triangle. ZQPR = RPS = SPT. Find ZPRSTRS
Jawaban:
120⁰80⁰detail cara dan jawabannya seperti di foto ya.
semangat belajar....
#bintang5dan<3yaaa;))
4. show that (4,5,3), (1,7,4),and(2,4,6) are vertices of an equilateral triangle
Vektor (4, 5, 3), (1, 7, 4), dan (2, 4, 6) merupakan vektor dari segitiga sama sisi. Karena ketiga sisi segitiga tersebut sama besar yakni √14. Nilai tersebut diperoleh dari perhitungan panjang vektor pada segitiga. Simak pembahasan berikut.
PembahasanDiketahui:
A = (4, 5, 3)
B = (1, 7, 4)
C = (2, 4, 6)
Ditanya: apakah segitiga ABC merupakan segitiga sama sisi
Jawab:
Syarat segitiga ABC merupakan segitiga sama sisi adalah memiliki panjang sisi yang sama atau dapat ditulis sebagai berikut:
a = b = c
dengan:
a = panjang vektor BC atau |BC|
b = panjang vektor AC atau |AC|
c = panjang vektor AB atau |AB|
Menghitung panjang sisi a
a = panjang vektor BC atau |BC|, maka menghitung vektor BC terlebih dahulu.
vektor BC = C - B
vektor BC = (2, 4, 6) - (1, 7, 4)
vektor BC = (2 - 1, 4 - 7, 6 - 4)
vektor BC = (1, -3, 2)
Panjang vektor BC adalah:
|BC| = [tex]\sqrt{1^{2}+(-3)^{2}+2^{2}}[/tex]
|BC| = [tex]\sqrt{1+9+4}[/tex]
|BC| = √14
∴jadi panjang sisi a adalah √14.
Menghitung panjang sisi b
b = panjang vektor AC atau |AC|, maka menghitung vektor AC terlebih dahulu.
vektor AC = C - A
vektor AC = (2, 4, 6) - (4, 5, 3)
vektor AC = (2 - 4, 4 - 5, 6 - 3)
vektor AC = (-2, -1, 3)
Panjang vektor AC adalah:
|AC| = [tex]\sqrt{(-2)^{2}+(-1)^{2}+3^{2}}[/tex]
|AC| = [tex]\sqrt{4+1+9}[/tex]
|AC| = √14
∴jadi panjang sisi b adalah √14.
Menghitung panjang sisi c
c = panjang vektor AB atau |AB|, maka menghitung vektor AB terlebih dahulu.
vektor AB = B - A
vektor AB = (1, 7, 4) - (4, 5, 3)
vektor AB = (1 - 4, 7 - 5, 4 - 3)
vektor AB = (-3, 2, 1)
Panjang vektor AB adalah:
|AB| = [tex]\sqrt{(-3)^{2}+2^{2}+1^{2}}[/tex]
|AB| = [tex]\sqrt{9+4+1}[/tex]
|AB| = √14
∴jadi panjang sisi c adalah √14.
Karena panjang a = panjang b = panjang c = √14, maka terbukti bahwa segitiga ABC merupakan segitiga sama sisi.
Pelajari lebih lanjutMenghitung proyeksi ortogonal vektor https://brainly.co.id/tugas/22666878Menentukan vektor pada segitiga https://brainly.co.id/tugas/22653997----------------------------------------Detil jawabanKelas: 10
Mapel: Matematika
Bab: Vektor
Kode: 10.6.2
Kata kunci: vektor, segitiga sama sisi, a, b, c, sama panjang
5. 1.) Triangle MNO is a right-angled triangle and triangle NOP is an isosceles triangle. MO is perpendicular to OP. ∠OMN = 53°. Find ∠OPN.
Penjelasan dengan langkah-langkah:
< MON = 90-53= 37°
< NOP = 90-37= 53° = < PNO
=> <OPN=180-(53+53)
=180-106=74°
goodluck
6. 1.what are some possible lengths of each side of the triangle is isosceles?2.what are some possible lengths of each side if the triangle is scalene?tolong jawab ya kakak adik
Jawaban:
1. The triangle is formed by 3 vertices whose positions are not in line connected.
In each triangle, several properties apply, including;
the sum of the lengths of the two sides is always greater than the side lengths of the triangle;
the sum of the angles of a triangle is 180 degrees;
the largest corner is the corner facing the longest side, while the smallest corner is the corner facing the shortest side;
the size of the outer corner is equal to the sum of the two corners that are not aligned with the outer corner.
2. that the sum of the lengths of each of the two sides of the triangle must be greater than or equal to the length of the third side.
Penjelasan dengan langkah-langkah:
I hope this helps7. if one angle of a triangle is equal to the sum of other two angles then the triangle is-:i) an isoscales triangle.ii) an obtuse triangle.iii) an equilateral triangle.iv) a right triangle.
Jawaban:
iii) an equilateral triangle
mungkin
maafkalausalahya.
8. in an isosceles triangle,one angle is three times the size of the other two angles. Work out the size of each angle.
Jawab:
Penjelasan dengan langkah-langkah:
Penjelasan dengan langkah-langkah:
total angles in a triangle is 180.
one angle is three times the size of the other two angles.
so:
x + x + 3x = 180
5x = 180
x = 36 degrees (size of each base angles)
one angle is three times the size of the other two angles
first angle: 36
second angle: 36
third angle: 3 × 36 = 108
9. Angle ABCD is a trapezium, ABE is an isosceles triangle. Find
Jawaban:
Saya tidak tahu
Penjelasan dengan langkah-langkah:
Terimakasih
10. A triangle with 3 equal sides is a/ana. right angled triangleb. isosceles trianglec. equilateral triangled. scalene triangle
Jawaban:
the answer is= C. equilateral triangle
Jawaban:
Segitiga dengan 3 sisi sama panjang adalah a/an
Sebuah. segitiga siku-siku
b. segitiga sama kaki
c. segitiga sama sisi
d. segitiga siku-siku
Penjelasan dengan langkah-langkah:
C.equilateral triangle
11. The equal sides of an isosceles triangle are 2 cm shorter than the length of the third side. If the perimeter of the triangle is 35 cm, find the length of the third side.pake cara kak kalo bole :)
Jawaban:
cara dan jawabannya seperti di foto ya.
semangat belajar
semoga membantu;))
12. The base of an isosceles triangle measures 24 cm.and it's area is 192cm2.find it's height
Jawab:
Penjelasan dengan langkah-langkah:
192cm²=1/2.24cm.h
192cm²=12cm.h
h=192cm²/12cm
h=16cm
So the height is 16cm
^^
13. What is your opinion about the characteristics of Isosceles Triangle? What is your opinion about the characteristics of Parallelogram?
Jawaban:
What is your opinion about the characteristics of Isosceles Triangle?jawaban:Sifat-sifat segitiga sama kaki antara lain:
Memiliki satu buah sumbu yang simetris. Terdapat dua sudut dengan besaran yang sama yakni dua sudut yang saling berhadapan dengan sisi yang sama panjang. Dua buah sisinya memiliki panjang yang sama sebagai kaki dari segitiga
What is your opinion about the characteristics of Parallelogram? jawaban:Ciri jajar genjang adalah bangun datar dua dimensi yang dibentuk oleh dua pasang rusuk yang masing-masing sama panjang dan sejajar dengan pasangannya, dan memiliki dua pasang sudut yang masing-masing sama besar dengan sudut di hadapannya. Jajar genjang dengan empat rusuk yang sama panjang disebut belah ketupat
Penjelasan dengan langkah-langkah:
jadikan jawaban tercerdas ya makasih
Penjelasan1. The properties of an isosceles triangle include: Because it has one axis that is symmetrical. has two angles of the same measure, two opposite angles with equal sides And have the same side.
2. The characteristics of a parallelogram are two-dimensional flat shapes formed by two pairs of edges, each of which is the same length and parallel to its partner, and has two pairs of angles that are each.
____________________________________
#If my answer is correct, don't report it
#Please don't delete my answer.
[tex]{\mathcal\color{purple}{{\pink{\underline{\purple{\underline\bold{\pink{K}\bold\color{violet}{a\bold{\pink{r}\bold\color{violet}{e\bold{\pink{n}\bold\color{violet}{i\bold{\pink{n}\bold\color{violet}{a\bold{\pink{j}\bold\color{violet}{o\bold{\pink{v}\bold\color{violet}{ala\bold{\pink{n}\bold\color{violet}{k\bold{\pink{a}}}}}}}}}}}}}}}}}}}}}}[/tex]14. P(1,6),Q(-2,1) and R(3,-2) show that triangle PQR is a right-angled isosceles triangle qnd calculate the area of triangle
Jawaban:
p+q=2÷3=4,222 sedangkan di titik tengah r 3×2+4÷3=5 t=234×342÷345=3.543=(876×546)=453r=3×2=6
Penjelasan dengan langkah-langkah:
segitiga r=234
t=244-342=432
x=jari-p146
x=110-1=109
15. c5.24 cmThe perimeter of the isosceles triangle is 60 cm. what is thearea of the triangle?a. 11c. 18b. 24d. 29( )
Jawab:
C. 18
Penjelasan dengan langkah-langkah:
Maaf kalau slaah
16. A shape which is a quadrilateral and also an irregular polygon is... A. equilateral triangle B. isosceles triangle C. square D. rhombus
Jawaban:
D . rhombus
Penjelasan:
A rhombus meets one of the requirements: it is equilateral. But, all of a rhombus's angles are not the same. It is not equiangular, so it is an irregular polygon.
17. a pyramid,the base has an isosceles triangle form with sides of 10 cm,10 cm and 12 cm.if the height of the pyramid is 15 cm,then calculate the volume of pyramis
tinggi segitiga sama kaki :
(1/2 sisi alas)² + tinggi ² = sisi miring²
6² + t² = 10²
t² = 100-36
t = √64 = 8 cm.
Maka, volume limas :
V = 1/3 (Luas alas segitiga) X tinggi limas
= 1/3 . 1/2 . alas . tinggi . t limas
= 1/3 . 1/2 . 12 . 8 . 15
= 240 cm³
18. There are types of triangles based on the side.....except: A. Obtuse Triangle B. Equilateral Triangle C. Isosceles Triangle D. Scalene Triangledibantu iya
Jawaban:
A. Obtuse Triangle (Segitiga Tumpul)
Penjelasan:
A. Obtuse Triangle (Segitiga Tumpul)
B. Equilateral Triangle (Segitiga Sama Sisi)
C. Isosceles Triangle (Segitiga Sama Kaki)
D. Scalene Triangle (Segitiga Sembarang)
Jawabannya yg A karena Segitiga Tumpul termasuk dalam segitiga yg ditinjau dari Sudutnya, sedangkan yg B, C, dan D itu termasuk dalam segitiga
yg ditinjau dari PanjangSisi-sisinya.
Jawaban:
A. Obtuse triangles
Langkah langkah :
Pertanyaan :
There are types of triangles based on the side except :
Artinya :
Ada jenis jenis segitiga berdasarkan sisinya kecuali :
Pilihan jawaban :
A. Obtuse triangle = segitiga
tumpul
B. Equilateral triangle = segitiga
sama sisi
C. Isosceles triangle = segitiga
sama kaki
D. Scalene triangle = segitiga
sembarang
Penjelasan :
Menurut jenis sisinya, segitiga dibagi menjadi 3 jenis
1. Segitiga sama sisi = ketiga sisi
nya sama panjang dan ketiga
sudutnya sama besar
2. Segitiga sama kaki = Hanya
memiliki 2 sisi sama panjang
dan 2 sudut sama besar.
3. Segitiga sembarang =
segitiga yang masing masing
sisinya tidak sama panjang
dan masing masing sudutnya
tidak sama besar.
Sedangkan segitiga sembarang (scalene triangle) merupakan segitiga berdasarkan jenis sudutnya.
Jadi, jawaban yang tepat untuk pertanyaan diatas adalah
= A. Obtuse triangle
Semoga membantu...
Semoga bermanfaat...
19. In rhombus ABCD,ECF is an isosceles triangle and AEF = 117° Find ABC
Jawaban:
the working and the answer are shown in the pic
semangat belajar;))
20. What is your opinion about the characteristics of Isosceles Triangle?What is your opinion about the characteristics of Parallelogram?
SOAL1
___________________________________________
Characteristics Of Isosceles Triangle :
It Has One Axis That Is Symmetrical, Has Two Angles Of The Same Measure, Two Opposite Angles With Equal Sides And Have The Same Side
___________________________________________
SOAL2___________________________________________
Characteristics Of Parallelogram :
It Has Two Dimensional Flat Shapes Formed By Two Pairs Of Edges, Each Of Which Is The Same Length And Parallel To Its Partner, And Has Two Pairs Of Angles That Are Each
___________________________________________ [tex] {\mathcal\color{purple}{{\pink{\underline{\purple{\underline\bold{\pink{K}\bold\color{violet}{h\bold{\pink{a}\bold\color{violet}{d\bold{\pink{i}\bold\color{violet}{j\bold{\pink{a}\bold\color{violet}{h\bold{\pink{A}\bold\color{violet}{m\bold{\pink{j}\bold\color{violet}{a\bold{\pink{d}\bold\color{violet}{1\bold{\pink{2}}}}}}}}}}}}}}}}}}}}}}[/tex]
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