Question

Two equal sides of a triangle are each $5m$ less than twice the third side. If the perimeter of the triangle is $55m$. Find the length of its sides.

Answer 1

Let the third side be $x$ m.

Then the two equal sides are of length $(2x-5)$ m.

Perimeter of triangle = $55$ m.

$⟹x+(2x-5)+(2x-5)=55$

$⟹5x-10=55$

$⟹x=13$

Hence, the length of the triangle's sides are $13m$, $21m$ and $21m$.