Lesson 9.3: Help for Exercise 36 on page 547
In this exercise you will write an algebraic proof with the following Given and Prove statements.
Given: a2 + b2 = c2
Prove: (ka)2 + (kb)2 = (kc)2, where k > 0
A strategy you can use is to multiply both sides of the given equation by the same expression, then continue to transform the equation until you end up with the equation you wish to prove true.