Question

The perimeter of a triangle is 93 feet. Side a of the triangle is twice as long as side b. Side c is 3 feet longer than side a. Find the length of each side.

Answer 1

a= 73.2

b =36.6

c = 76.2

Explanation:

Perimeter of the triangle is the distance round the triangle.

Let the 3 sides be a, b and c

Side a of the triangle is twice as long as side b. This means

a = 2b

Side c is 3 feet longer than side a. This means

c = a + 3

The perimeter of the triangle is 93 feets. Formula for finding the perimeter of the triangle is

(a + b + c)/2

Therefore,

93 = (2b + b + 2b + 3)/2

93 = (5b + 3)/2

5b + 3 = 93 × 2 = 186

5b = 186 - 3 = 183

b = 183/5 = 36.6

a = 2b = 2 × 36.6 = 73.2

c = a + 3 = 73.2 +3 = 76.2