Question

One side of a triangle is 2 times the second side. The third side is 5 ft longer than the second side. The perimeter of a triangle is 81 ft. Find the length of each side.

Answer 1

19 ft, 24 ft and 38 ft are the lengths of triangle.

Explanation:

Let the length of second side be x.

Now given:

Given: Length of first side is 2 times length of second side = 2x

Given:Length of third side is 5 ft longer than the second side = 5+x

Perimeter of triangle = 81 ft.

Need to Calculate length of each side.

Now we know that sum of all three sides of triangle is equal to perimeter of triangle.

Hence,

`x+2x+5+x =81\\4x= 81-5\\4x=76\\x=19 ft`

Also,

2x= 2×19 =38 ft.

5+x = 5+19 =24 ft.

Hence,

Length of first side = 38 ft.

Length of second side = 19 ft.

Length of third side =24 ft.