18.4k views
2 votes
The triangle has a perimeter of 65 feet. What are the lengths of sides l,m,
and n
?

User Luyin Sun
by
4.4k points

1 Answer

2 votes

Answer:

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.

The triangle has a perimeter of 65 feet. What are the lengths of sides l,m, and n-example-1
User Interactive
by
3.9k points