Perimeter of a triangle is 217 cm.the ratio of the triangle sides are 5:9:17 find the length of each side of the triangle
1. Perimeter of a triangle is 217 cm.the ratio of the triangle sides are 5:9:17 find the length of each side of the triangle
Answer :
Known Values :
Perimeter (P) = 217 cm
Ratio of the sides = 5 : 9 : 17
First, find the value of each "1x" in the ratio ;
=> 217 cm : (5 + 9 + 17)
=> 217 cm : 31
=> 7 cm
Now, we can search each length of each side of the triangle according to the value of each "1x" we searched before.
"A" side :
=> 5 × 7 cm
=> 35 cm
"B" side :
=> 9 × 7 cm
=> 63cm
"C" side :
=> 12 × 7 cm
=> 84cm
So, we found the length for each side in the triangle are 35 cm, 63 cm, and 84 cm.
2. the perimeter of a triangle is 140cm the sum of the length of two of the sided equals the length of the shortest leg is 10 cm less than the length of the longlest leg find the length of the sides of the triangle
Jawaban:
Penjelasan:
A= length of sided side(sisi kaki segitiga)
B=base(alas segitiga)
2A=B-10
B=2A+10. (pers.1)
2A+B=140. (Substitusikan pers.1)
2A+(2A+10)=140
4A+10=140
4A=130
A=130/4=32.5 (. In english means comma)
B=2A+10=65+10=75 cm
3. the hypotenuse of a right triangle is 20m. Of the difference between the length of the other side is 4m. Find the length of the two sides
Jawaban:
x= 12cm, x=-16cm but side can never be a negative number.so x=12cm is your perpendicular distance(P) according to assumption.
Base distance(B)=x-4 =12-4=8cm
4. Find the length of the diagonal of a rectangle whose sides have lengths 10 dan 18
Penjelasan dengan langkah-langkah:
the length of the diagonal ,= square root of 10 power of 2 adding 18 power of 2
then the value of √ 100+324 = √424
5. In ABC triangle , the ratio of the sides is AB : BC : AC = 2 : 4 : 5. If the perimeter of the triangle is 44 cm, find the length of BC.
Jawab:
BC = 16 cm
Penjelasan dengan langkah-langkah:
BC = 4 / (2+4+5) x 44 = 4/11 x 44 = 16 cm.
6. The Ratio of corresponding sides of two similar triangles is 2 : 3. if the difference between the corresponding sides is 5 cm long, find the length of the two corresponding sides
.
[tex] x = \frac{3}{2} \times 5 \\ = \frac{15}{2} \\ = 7.5[/tex]
so, the lengths of the two corresponding sides are 7,5
7. ##Quiz #64 ##• English version• big point• no spam==========given the triangle with the sides length 13 cm, 14 cm and 15 cm. •> find the exact value of the area of the triangle. •> find the value of the largest angle, round to the whole degrees.
1. Rumus luas segitiga sembarang = akar dari s(s-a)(s-b)(s-c) dengan s adalah perimeter segitiga.
Perimeter segitiga = s = 1/2 x Keliling Segitiga.
s = 1/2 (13+14+15).
s = 1/2 x 42 cm.
s = 21 cm.
a = 13 cm b = 14 cm c = 15 cm.
Luas segitiga sembarang = akar dari 21(21-13)(21-14)(21-15)
Luas segitiga sembarang = akar dari 21 x 8 x 7 x 6.
Luas segitiga sembarang = akar dari 7056 cm^4.
Luas segitiga sembarang = 84 cm^2.
2. Sudut A ada didepan sisi a misalnya.
Maka Cos A = b^2 + c^2 - a^2 / 2bc.
Cos A = 14^2 + 15^2 - 13^2 / 2x14x15.
Cos A = 196 + 225 - 169 / 420.
Cos A = 252 / 420.
Cos A = 0,6.
Sudut A = 53°
Sudut B ada didepan sisi b misalnya.
Maka Cos B = a^2 + c^2 - b^2 / 2ac.
Cos B = 13^2 + 15^2 - 14^2 / 2x13x15.
Cos B = 169 + 225 - 196 / 390.
Cos B = 198 / 390.
Cos B = 0,5
Sudut B = 60°
Sudut C ada didepan sisi b misalnya.
Maka Cos C = a^2 + b^2 - c^2 / 2ab.
Cos C = 13^2 + 14^2 - 15^2 / 2x13x14.
Cos C = 169 + 196 - 225 / 364.
Cos C = 140 / 364.
Cos C = 0,38
Sudut C = 67,3°
Maka sudut terbesarnya adalah sudut C yaitu 67,3° atau dibulatkan menjadi 67°
∆ABC
BC = a = 13 cm
AC = b = 14 cm
AB = c = 15 cm
S = 1/2 K∆
S = 1/2 (13 + 14 + 15)
S = 21 cm
luas ∆ABC
= √(S(S - a)(S - b)(S - c))
= √(21 (21 - 13)(21 - 14)(21 - 15))
= √(21 . 8 . 7 . 6)
= √(3 . 7 . 8 . 7 . 3 . 2)
= 3 . 7 . 4
= 84 cm²
sudut terbesar menghadap sisi terpanjang.
sudut terbesar = ∠C
luas ∆ = 84
1/2 × a × b × sin C = 84
1/2 × 13 × 14 × sin C = 7 × 12
sin C = 12/13
∠C = arc sin (12/13)
∠C = 67,38°
8. the length of 3 sides of a triangle are in the ratio 5 : 4 :7.the longest side measures 77 cm.the length of the shortest side of the triangle is...cm
Jawaban:
44 cm
Penjelasan dengan langkah-langkah:
panjang terpendek adalah
4/7 x 77
=4 x 11
= 44
9. The length of the sides of a triangle are 48cm, 14cm, and 50cm, it's circum radius is
hypothenuse / 2 = 25cm
10. a rhombus has sides of length 6 centimeter one of its diagonal is 10 centimeter of find the length of the other diagonal
Jawab:
belah ketupat memiliki sisi panjang 6 sentimeter salah satu diagonal adalah 10 sentimeter menemukan panjang diagonal lainnya.
Penjelasan dengan langkah-langkah:
6+6+6+6=24
d2 = 2 × L ÷ d1
2 x 24 ÷ 10= 4,8 atau 24/5
11. length of wire is 20 cm long. It is bent at right angles to form the two A straight shorter sides of a right angled triangle. If the triangle's area is 30 cm find the length of the hypotenuse and the triangle's perimeter
Kawat membentuk sisi alas dan tinggi segitiga siku-siku.
misalkan:
alas = a
tinggi = t
Dengan demikian:
a + t = 20 cm
a = 20 - t
L = 1/2 a t
30 = 1/2 . (20 - t).t
60 = 20t - t²
t² - 20t + 60 = 0
t = (20 +/- √[ (-20)² - 4.1.60) ]/2.1
= (20 +/- √(400 - 240) ]/2
= (20 +/- √160)/2
= (20 +/- 4√10)/2
= 10 +/- 2√10
t = (10 + 2√10) cm
a = 20 - (10 + 2√10)
= (10 - 2√10) cm
manentukan sisi miring (r) kita gunakan dalil phytagoras
r² = a² + t²
= (10 - 2√10)² + (10 + 2√10)²
= 100 - 40√2 + 40 + 100 + 40√2 + 40
= 280
r = √280
= 2√70 cm
Keliling segitga:
K = a + t + r
= 10 - 2√10 + 10 + 2√10 + 2√70
= (20 + 2√70) cm
12. 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;))
13. a triangle of perimeter 360mm has side lengths in the ratio 3:5:4. find the lengths of the sides.
Jawab:
Penjelasan dengan langkah-langkah:
9/12 = 3/4
jawabannya 12 , 45 , 56
Itu jawabanya 28 36 79
Kalo salah gpp
14. The ratio of the sides of a triangle AB to BC to AC, is 3 : 4 : 5. The perimeter Of the triangle is 72cm Find the length of it's longest Side.
Jawaban:
The length of the longest side: 30cm
Penjelasan dengan langkah-langkah:
To find the length of the longest side:
5+4+3= 12
72÷12= 6
5×6= 30cm
15. How to find angle of triangle if sides are given ?
JAWABAN:
How to find a side of a triangle.
As we known as, Triangle total sides, if it is a equaled are 180°, so.. to find an angle, we just need to
Substract the 180° - side - side = answerExample:
A ------------------- B
\ /
\ /
\ /
\ /
C
A: 60°
B: 40°
C: ?
: 180° - 60° - 40° = 80°
So, side C is 80°
IMPORTANT POINTS-so, If you are given an equilateral triangle, all sides should be in a same angle, for ex: 180° ÷ 3 sides of a triangle = 60°, so, A side of an equilateral triangle Must be 60°
-and also, if you are given an isosceles triangle, meaning, two sides are equal. Ex:
A --------------------------------------------- B
\ /
\ /
\ /
\ /
\ /
\ /
\ /
C
A: 45°
B: is same as A : 45°
C: ?
: 180° - 45° - 45° : 90°
Semoga membantu :)
mapel: english-mathematics
kelas: 5 SD // 6 SD
topik: Triangles
16. 1. The hypotenuse of a right triangle has length 10 cm, and the other two sides have lengths y and 3y respectively. Find the area of the triangle, in cm2. 2. In the diagram below, ABC is an equilateral triangle of side length 7 cm. The arcs AB, BC and CA are drawn with centres C, A and B respectively. Find the total length, in cm, of the three arcs.
1. Hypotenuse is the longest side of a triangle, located in front of a right angle.
Phytagoras law indicated that : 10² = y² + 9y² --> 10² = y² (1 + 9) --> y = [tex] \sqrt{10} [/tex]
The area of the right triangle is [tex] \sqrt{10} [/tex] × 3[tex] \sqrt{10} [/tex] = 30 cm²
2. I'm sorry that I can be of no help here, haven't learned about this ;-; :'DD
Maap kalo salahh
17. The perimeter of triangle is 140cm. the sum of the lenghts of two sides equals the length of the third side. twice the length of the shortest leg is 10 cm. less than the length of longeet leg.find the length of sides of the triangle
The length of sides of the triangle are 30 cm, 40 cm, and 70 cm.
DiscussionA triangle consists of 3 sides and 3 angles.
The perimeter is the distance around the edge of a triangle which can be counted by adding up the length of all leg.
The 3 angles always add to 180°.
==================================================
Given :
Perimeter = p = 140 cm
The sum of the length of two sides equals the length of the third side.
Twice the length of the shortest leg is 10 cm less than the length of longest leg
Question :
Find the length of sides of the triangle!
Answer :
Let a, b, and c be the sides of the triangle.
p = a + b + c
The sum of the length of two sides equals the length of the third side => a + b = c
p = a + b + c
140 cm = a + b + c
140 cm = c + c
2c = 140 cm
c = 140 cm : 2
c = 70 cm
Because c is the sum of the other sides, it means that c is the longest leg of the triangle.
let a b the shortest leg of the triangle.
Twice the length of the shortest leg is 10 cm. less than the length of longeet leg => 2c = c - 10 cm
2a = c - 10 cm
2a = 70 - 10 cm
2a = 60 cm
a = 60 cm : 2
a = 30 cm
a + b = c
30 cm + b = 70 cm
b = 70 cm - 30 cm
b = 40 cm.
Learn more :Finding the area and perimeter of a triangle :
brainly.co.id/tugas/1504015
brainly.co.id/tugas/13973281
brainly.co.id/tugas/13999314
Detail of Answer :Grade : 7 (JHS)
Subject : Mathematics
Chapter : Triangle and Rectangle
Categorization : 7.2.4
Keywords : triangle, leg, side, perimeter, length.
18. A piece of wire is bent to form a triangle. The sides of the triangle are in the ratio 3:4:5. The length of the longest side is 35cm. Find the length of the wire used to form the triangle.
[tex] \frac{3 + 4 + 5}{5} \times 35 \: cm \\ \\ \frac{12}{5} \times 35 \: cm = 84 \: cm[/tex]
19. The longest side of a triangle has length cm. The other sides have legth cm and cm. Given the largest angle is, calculate: 1.The value of b. The area of triangle
Jawaban:
Soal dan Pembahasan
Pada sebuah segitiga KLM, dengan siku-siku di L, diketahui sin M = 2/3 dan panjang sisi KL = √10 cm. Tentukan panjang sisi segitiga yang lain dan nilai perbandingan trigonometri lainnya!
Permasalahan di atas terkait menentukan perbandingan trigonometri, dan penyelesaiannya dilakukan dengan menggunakan konsep phytagoras dan trigonometri.
Secara matematis, persamaan teorema phytagoras pada segitiga siku-siku di atas dapat ditulis:
(sisi depan)² + (sisi samping)² = (sisi miring)²
Penjelasan dengan langkah-langkah:
Maaf kalo salah
20. A floor tile in the shape of a rhombus has sides of length 52 cm and a diagonal of length 48 cm. find the length of the other diagonal.
Jawaban:
speak indonesian please...
Penjelasan dengan langkah-langkah:
indonesian speak
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