In an isosceles triangle, the two equal sides are twice the length of the third sides. the perimeter of the triangle is 105cm. find the sides of the triangle
Answers
ATQ, two equal sides of an isosceles triangle is twice the Length of it's third side.
let the third side of the isosceles triangle be x
therefore it's other two equal sides = 2x
let the sides be a, b and c respectively.
given perimeter of the triangle = 105cm
we know that, sum of all three sides = perimeter of the triangle
➡ a + b + c = 105cm
➡ 2x + 2x + x = 105cm
➡ 5x = 105cm
➡ x = 105/5
➡ x = 21cm
hence, the sides are :-
- a = 2x = 2 × 21 = 42cm
- b = 2x = 2 × 21 = 42cm
- c = x = 21cm
Answer:
Step-by-step explanation:
Given :-
Two equal sides of an isosceles triangle is twice the Length of it's third side.
Perimeter of the triangle = 105 cm
To Find :-
The sides of the triangle.
Formula to be used :-
Perimeter of the triangle = Sum of all three sides
Solution :-
let the third side of the isosceles triangle be x
therefore it's other two equal sides be 2x
Considering the sides of the triangle be a, b and c
Sum of all three sides = Perimeter of the triangle
⇒ a + b + c = 105 cm
⇒ 2x + 2x + x = 105 cm
⇒ 5x = 105 cm
⇒ x = 105/5
⇒ x = 21 cm
Putting all the values, we get
a = 2x = 2 × 21 = 42 cm
b = 2x = 2 × 21 = 42 cm
c = x = 21 cm
Hence, the sides of the triangle are 42 cm, 42 cm and 21 cm.