Answer:
- l = 10 feet
- n = 25 feet
- m = 30 feet
Explanation:
The perimeter of a triangle with sides l=m/3, n=l+m-15, and m is 65 feet. You want to know the lengths of the sides.
Perimeter
The perimeter is the sum of the side lengths.
P = l +m +n
P = (1/3)m +m +(l +m -15) = (1/3)m +m +(1/3)m +m -15
65 = 8/3m -15 . . . . . simplify, use P=65
80 = 8/3m . . . . . . . . add 15
30 = m . . . . . . . . . . . multiply by 3/8
Then the other sides are ...
l = 1/3m = 1/3(30) = 10
n = l +m -15 = 10 +30 -15 = 25
The lengths of the sides are l = 10 ft, n = 25 ft, m = 30 ft.