Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

$l=\dfrac{1}{3}m$, 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

$\dfrac{1}{3}m+m=40\\\\\dfrac{4}{3}m=40\\\\m=30\ \text{feet}$

⇒ $l=\dfrac{1}{3}\times 30=10\ \text{feet}$

And

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

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