Question

8. Two triangles have the same perimeter. One of

the triangles is an equilateral triangle with all of the
side lengths equaling x + 1. The other triangle has
side lengths of 2x, x, and 4x - 7. Find the perimeteter
of the equilateral triangle.

Answer 1

he perimeter of the equilateral triangle is $3(x + 1) = 3x + 3$.

Explanation:

The perimeter of the equilateral triangle is $3(x + 1)$ since the sides are all equal and there are three sides. The perimeter of the other triangle is $2x + x + 4x - 7$, which is also equal to $3(x + 1)$