More difficult unknowns

A slightly more difficult scenario is to be given the longest side length and one of the shorter sides, and asked to find the length of the other side. Use this example with the square blocks to illustrate this situation.

In this case 8² + m² = 13², so 64 + m² = 169.

m² = 169 – 64 = 105, m 13² = 169 8² = 64

so m = √105 = 10.25.