Question

The perimeter of an isosceles triangle is 24 cm. The length of its congruent sides is 13 cm less than twice the length of its base. Find the lengths of all the sides of the triangle.

Answer 1

let the base be a .
perimeter of triangle ABC is 24cm.
ABC is a is isosceles triangle .
so there are 2 congruent side and one base.
each congruent side =2a-13
ATQ , 2a-13 +2a-13+a=24 (proprty of isosceles triangle)
a=10 cm ( on solving)
similarly, each congruent side =2a-13
=7 cm
Hence , base is 10 cm and each congruent side is 7cm.