Question

The perimeter of the triangle is 29 cm.

a. Write an equation and solve for x.
b. Use the value of x to find the lengths of the sides of the triangle.
c. What kind of triangle is this: scalene, isosceles, or equilateral? Explain how you know using the calculated side lengths, not the picture
2x+2
3x - 1
x + 4

Answer 1

Explanation:

Equation

2x + 2 + 3x - 1 + x +4 = 29 Collect like terms on the left

6x + 5 = 29 Subtract 5 from both sides

6x = 29 - 5

6x = 24 Divide by 6

x = 24/6

x = 4

Length of the Sides.

2x + 2 = 2*4+2 = 10

3x - 1 = 3*4 - 1 = 12 - 1 = 11

x + 4 = 4 + 4 = 8

Type of Triangle

Scalene.