Question

A 45-45-90 triangle is shown below. Find the length of A and B. Leave answer in simplified radical form.

Answer 1

Explanation:

`{(14 √(6)) }^(2) = 2 {a}^(2) \\ {14}^(2) * { √(6) }^(2) = 2 {a}^(2) \\ 196 * 6 = 2 {a}^(2) \\ 1176 = 2 {a}^(2) \\ {a}^(2) = 588 \\ a = √(588) = √(196 * 3 ) \\ = 14 √(3) \\ a = b = 14 √(3)`