Question 1124892

One side of a triangle is one-third the longest side. The third side is 13 feet less than the longest side. The perimeter is 85. Find all three sides.
<pre>Just ONE (1) variable is needed to solve for the value of all 3 sides
Let the first side be F
Then the longest side is 3F
Third side = 3F - 13
We then get: F + 3F + 3F - 13 = 85
7F - 13 = 85
7F = 98
F, or first side = {{{highlight_green(matrix(1,4, 98/7, "=", 14, feet))}}}
Longest side: {{{highlight_green(matrix(1,4, 3(14), "=", 42, feet))}}}
Third side: {{{highlight_green(matrix(1,4, 3(14) - 13, "=", 29, feet))}}}