Question

In an isosceles triangle, each of the two equal sides is 4 cm more than the base. If the perimeter of the triangle is 29 cm, find the sides of the triangle.

Answer 1

Let the base of the triangle be x cm.
So, each of its equal sides = (x + 4)cm
As per the given condition,
perimeter of the triangle = 29cm
⇒ x + x + 4 + x + 4 = 29
⇒ 3x = 21
⇒ x = 7cm
So,
x + 4
= 7 + 4
= 11cm
Hence, the sides are 7cm, 11cm and 11cm.