Question

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

Answer 1

Let the base of the isosceles triangle be x cm long.
Then, the equal sides are (x + 4)cm.
Given, the perimeter of the triangle is 29cm
⇒ 2(x + 4) + x = 29cm
3x + 8 = 29cm
⇒ 3x = 21
⇒ x = 7cm
Thus, the base of the isisceles triangle is 7cm long.
Then, the equal sides are 11cm.