Question

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​

Answer 1

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 2

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.