Suppose that ^ABC is a right triangle with the right angle
Chapter 9, Problem 48(choose chapter or problem)
Suppose that ^ABC is a right triangle with the right angle at C. Use the law of cosines to prove the following statements. (a) The square of the distance from C to the midpoint of the hypotenuse is equal to one-fourth the square of the hypotenuse. (b) The sum of the squares of the distances from C to the two points that trisect the hypotenuse is equal to five-ninths the square of the hypotenuse. (c) Let P, Q, and R be points on the hypotenuse such that AP PQ QR RB. Derive a result similar to your results in parts (a) and (b) for the sum of the squares of the distances from C to P, Q, and R
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