Question

Please solve! 6 points :)

Answer 1

Answer:

l = 10 feet

m = 30 feet

n = 25 feet

Step-by-step explanation:

Perimeter of given triangle = 65 ft

$\therefore \: l + m + n =65 \\ \\ \frac{1}{3} m + m+\frac{1}{3} m +m - 15 + = 65 \\ \frac{8}{3} m = 65 + 15 \\ \frac{8}{3} m = 80 \\ m = 80 \times \frac{3}{8} \\ m = 30 \\ l = \frac{1}{3} \times 30 \\ l = 10 \\ n = 10 + 30 - 15 \\ n = 25$

Answer 2

Answer:

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

Step-by-step 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.

$65 = (\frac{1}{3} m )+ ( (\frac{1}{3} m )+m-15) + m$

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

$65 = 2\frac{2}{3} m - 15$

$80 = \frac{8}{3} m$

$30 = m$

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

$l = \frac{1}{3} *30$

$l = 10$

$n = 10 + 30 - 15$

$n = 25$