Question

the measures of the 3 sides of of a triangle can be represented by the algebraic expressions x,3x-1, and 4x+2. the perimeter of the triangle is 81 inches. what are the lengths of the sides of the triangle?

Answer 1

The perimeter of triangle is the sum of the three sides of the triangle.
x + 3x - 1 + 4x + 2 = 81
8x + 1 = 81
8x = 80
x = 10


The length of the sides of the triangle are 10 inches, 3(10) - 1 = 29 inches, 4(10) + 2 = 42 inches.