Question

The triangle has a perimeter of 65 feet. What are the lengths of sides l,m,
and n
?

Answer 1

l = 10 feet, m = 30 feet and n = 25 feet

Explanation:

The attached figure shows a triangle in which three sides as as follows :

`l=(1)/(3)m`, m and
`n=l+m-15`

Perimeter of triangle is 65 feet.

Perimeter = sum of all sides

`l+m+n=65`

put the value of n

`l+m+l+m-15=65\\\\2l+2m=80\\\\l+m=40`

Now put the value of l

`(1)/(3)m+m=40\\\\(4)/(3)m=40\\\\m=30\ \text{feet}`

⇒
`l=(1)/(3)* 30=10\ \text{feet}`

And

`n=10+30-15=25\ \text{feet}`

Hence, l = 10 feet, m = 30 feet and n = 25 feet.