An isosceles triangle has a perimeter of 46 inches. The base is 6 less than twice each of the congruent legs. What is the sum of the lengths of the two congruent legs?

Question

asked Jan 26, 2023 36.8k views

1 Answer

Tom Norton · Answer 1 · 2023-01-31T02:33:44+0000

Answer: 26 inches

Explanation:

An isosceles triangle has two congruent legs.

1) Set up the equations

P = b + 2L

b = 2L-6

2) Substitute for variables

46 = (2L - 6) + 2L

3) Solve the equation

46 = 4L - 6

52 = 4L

13 = L

4) Solve the problem

It asks for what is the sum of the two congruent legs

13 + 13 = Ans

26 = Ans