Question

The length of base of an isosceles triangle is x. The length of a leg is 4x-4. The perimeter of the triangle is 100. Find x

Answer 1

12

Step-by-step explanation:

Given parameters

Base of the isosceles = x

Length of leg = 4x - 4

Unknown:

Perimeter of triangle =100

Unknown:

The perimeter of a triangle is the sum of its sides;

An isosceles triangle has two equal length of leg;

So;

x + 2(4x - 4) = 100

x + 8x -8 = 100

9x - 8 = 100

9x = 100 + 8

9x = 108

x = 12