Question

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 3. The perimeter of the triangle is 34. Find x.

Answer 1

x=8

Explanation:

If the triangle is isosceles, it means that 2 of its sides are equal in length, therefore its perimeter is equal to

`(2x - 3) + (2x - 3) + (x)`

Adding similar terms, and recalling that the perimeter is equal to 34, we get

`5x - 6 = 34 \\ 5x = 40 \\ x = 8`