Question

​The perimeter of a triangle is 43 inches. The second side is 4 times as long as the first side. The third side is 1 inch longer than the first side. What is the length of each side

Answer 1

First side=7

Second side =28

Third side =8

Step-by-step explanation:

Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches

Second side is 4 times the first side

Third side is 1 inch longer the first

Let's call the first side x

Then equation for the perimeter of the triangle is given by

x+4x+x+1=43

We solve for x

6x+1=43

6x=43-1

6x=42

x=42/6

x=7

Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8