Question

The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 23 . Find x.

Answer 1

In an isosceles triangle, the legs of the triangle have same lengths.

`{ \tt{perimeter = side + side + side}}`

• substitute:

`{ \tt{23 = x + 2(2x - 6)}} \\ \\ { \tt{23 = x + 4x - 12}} \\ \\ { \tt{5x = 35}} \\ \\ { \boxed{ \tt{ \: \: x = 7 \: \: }}}`