Question

Please, leave your answer in simplest radical form.

Answer 1

This is an isosceles right triangle  < M =90°, < L = 45°, then < K = 45°

Hence LM =KM =5. Pythagoras:


LK² = LM² + KM²


LK² = 5² + 5²

LK² = 25 + 25

LK² =50 AND LK =√50  OR =√25x2 or = 5√2