Question 1181833
The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45 centimeters?
<pre>Let longest side be L
Then other 2 are: L - 2, and L - 4
We then get: L + L - 2 + L - 4 = 45
3L - 6 = 45
3L = 51
Longest side, or {{{highlight_green(matrix(1,5, L, "=", 51/3, "=", highlight(matrix(1,2, 17, cm))))}}}