Question

An Isosceles triangle and a square have the same perimeter. Find the side lengths of the triangle.

triangle base: 3x

triangle height: 2x+1

square length: 4

Answer: 5, 5, 6

How you get this answer?

Answer 1

In isosceles triangle two sides are equal,

So,

3x-1=2x+2

x=3

Perimeter=sum of all sides

=3x-1+2x+2+2x

=7x+1

Substituting value of x

Perimeter=7(3)+1

=21+1

=22

Thus x=3

:. Perimeter of a triangle=22 square units