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

The length of each side of the triangle is 11, 23, and 19.

What is a perimeter?

The perimeter is defined as the sum of all the sides of any shape. For the triangle, the perimeter will be the sum of all the sides of the triangle.

Given that 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 4 feet shorter than the second side.

The sides will be calculated as below:-

P = 53

P=a+b+c

53= (b−12)+b+(b−4)

53 =b−16

b=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

Therefore, the length of each side of the triangle is 11, 23, and 19

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