In a right triangle ABC (10 = 90) let 00' J. AB where 0' G AB. Denote c = AB, a = BC, I) = A0, h = CC", cl = BC", and (:2 = AC". Prove the following metric relations: a) h2 = 6102; b) h = 05/0; C) 02/52 = 01/02; '31) \"2 b2 = a? _ 03' Hint: For a) ,b),c) use the proportions implied by three similar triangles. For (1) use the Pythagorean Theorem twice