Question

A triangle has sides of lengths 3x, 2x - 2, and 5x. If the perimeter of the triangle is 28, what is the length of the longest side?

(A) 3

(B) 4

(C) 9

(D) 10

(E) 15

Answer 1

the answer is c why not cheat off ur friends

Answer 2

Therefore, the longest side of the triangle has a length of 15.

Explanation:

To solve the problem, we can use the fact that the perimeter of a triangle is the sum of the lengths of its three sides. We are given that the sides of the triangle have lengths 3x, 2x - 2, and 5x, so we can write:Perimeter = 3x + (2x - 2) + 5x

28 = 10x - 2Solving for x, we get:10x = 30

x = 3Now that we have found x, we can substitute it into the expression for the sides of the triangle to find their actual lengths:The length of the first side is 3x = 3(3) = 9The length of the second side is 2x - 2 = 2(3) - 2 = 4The length of the third side is 5x = 5(3) = 15Therefore, the longest side of the triangle has a length of 15.