Question

Please solve! 6 points :)

Answer 1

l = 10 feet

m = 30 feet

n = 25 feet

Explanation:

Perimeter of given triangle = 65 ft

`\therefore \: l + m + n =65 \\ \\ (1)/(3) m + m+(1)/(3) m +m - 15 + = 65 \\ (8)/(3) m = 65 + 15 \\ (8)/(3) m = 80 \\ m = 80 * (3)/(8) \\ m = 30 \\ l = (1)/(3) * 30 \\ l = 10 \\ n = 10 + 30 - 15 \\ n = 25`

Answer 2

Side
`l` is 10 feet, side
`m` is 30 feet, and side
`n` is 25 feet.

Explanation:

We know that all three variables add up to 65, so we begin by plugging in the individual equations into a larger equation with a sum of 65.

`65 = ((1)/(3) m )+ ( ((1)/(3) m )+m-15) + m`

We then combine like terms and solve this equation for
`m`, ending with a value of 30.

`65 = 2(2)/(3) m - 15`

`80 = (8)/(3) m`

`30 = m`

Once we have the value of
`m`, we can plug it into the equations of the other sides and solve.

`l = (1)/(3) *30`

`l = 10`

`n = 10 + 30 - 15`

`n = 25`