sat suite question viewer
Which equation shows the relationship between the side lengths of the given triangle?
Explanation
Choice C is correct. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. Therefore, , where and are the lengths of the legs and is the length of the hypotenuse. For the given right triangle, the lengths of the legs are and , and the length of the hypotenuse is . Substituting for and for in the equation yields . Thus, the relationship between the side lengths of the given triangle is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.