Question

The perimeter of a triangle is 53 feet. One side of the triangle is 12 feet shorter than the second side. The third side is is 4 feet shorter than the second side. Find the length of each side.

Answer 1

Answer:

11, 23, 19

Step-by-step explanation:

P535369b=a+b+c=(b−12)+b+(b−4)=3b−16=3b=23

The length of the second side is 23 feet. Substituting this back into the expressions for the lengths of the first and third sides, we find

1st side=b−12=23−12=11 3rd side=b−4=23−4=19

The three sides are 11, 23, and 19.

Answer 2

Let the shortest side be = a, then side b = 2·a and side c = (b + 24)

We are given that a + b + c = 84

Substituting for b and c

a + 2·a + (a + 24) = 84

4·a + 24 = 84

4·a = 84 - 24 = 60

a = 60/4 = 15 feet

b = 2·15 = 30 feet

c = 15 + 24 = 39 feet

sorry if i am wrong