Question 969383

One side of triangle is half the longest side. The third side is 9 feet less than the longest side. The perimeter is 51. Find all three sides.
<pre>Let the 1st side be F
Then longest side = 2F, and 3rd side = 2F - 9
We then get: F + 2F + 2F - 9 = 51
5F - 9 = 51
5F = 51 + 9
5F = 60
F, or 1st side = {{{60/5}}}, or {{{highlight_green(12)}}} ft
Longest side: 2(12), or {{{highlight_green(24)}}} ft
3rd side = 2(12) - 9, or 24 - 9, or {{{highlight_green(15)}}} ft