Question

what is the length of each of the legs of the isosceles triangle?

Explanation:

Step1: Set up equation

Since it's an isosceles triangle, \(2x + 6=4x - 2\).
Solve for \(x\):
\(2x+6 = 4x - 2\)
\(6 + 2=4x - 2x\)
\(8 = 2x\)
\(x = 4\)

Step2: Calculate side length

Substitute \(x = 4\) into \(2x + 6\):
\(2\times4+6=8 + 6=14\)
Substitute \(x = 4\) into \(4x - 2\):
\(4\times4-2=16 - 2=14\)

Answer:

14