Question

A triangle has a perimeter of 58 feet. If the three sides of the triangle are n. 3n + 4, and 4n - 10, what is the length of each s

Answer 1

To find the lengths of the sides of the triangle, we need to solve the equation:
n + 3n + 4 + 4n - 10 = 58

Combining like terms, we get:
8n - 6 = 58

Adding 6 to both sides, we get:
8n = 64

Dividing both sides by 8, we get:
n = 8

To find the lengths of the sides, we substitute n = 8 into the expressions for each side:

Side 1: n = 8
Side 1 = 8

Side 2: 3n + 4 = 3(8) + 4 = 24 + 4 = 28

Side 3: 4n - 10 = 4(8) - 10 = 32 - 10 = 22

Therefore, the lengths of the sides of the triangle are 8 feet, 28 feet, and 22 feet.