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 :
[tex]l=\dfrac{1}{3}m[/tex], m and [tex]n=l+m-15[/tex]
Perimeter of triangle is 65 feet.
Perimeter = sum of all sides
[tex]l+m+n=65[/tex]
put the value of n
[tex]l+m+l+m-15=65\\\\2l+2m=80\\\\l+m=40[/tex]
Now put the value of l
[tex]\dfrac{1}{3}m+m=40\\\\\dfrac{4}{3}m=40\\\\m=30\ \text{feet}[/tex]
⇒ [tex]l=\dfrac{1}{3}\times 30=10\ \text{feet}[/tex]
And
[tex]n=10+30-15=25\ \text{feet}[/tex]
Hence, l = 10 feet, m = 30 feet and n = 25 feet.
