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

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle = Length of first side + length of second side + Length of third side.

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

Length of Second Side = 19 ft.

Length of First side =
`2x= 2*19 = 38 ft`

Length of Third side =
`5+x= 5+19=24ft`

Hence the Length of triangles are 19 ft,38 ft,24 ft.