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Choice B is correct. The Pythagorean theorem states that for a right triangle, 2= 2+ 2 c a b , where c represents the length of the hypotenuse and a and b represent the lengths of the legs. It’s given that in triangle ABC, angle B is a right angle. Therefore, triangle ABC is a right triangle, where the hypotenuse is side AC and the legs are sides AB and BC. It’s given that the lengths of sides AB 10 37 24 37 and BC are and , respectively. Substituting these values for a and 2= 2+ 2 2= 10 37 2 + 24 37 2 b in the formula c a b yields c ^ h ^ h , which is equivalent 49 SAT PRACTICE TEST #6 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 2=100 37+576 37 2=676 37 to c ^ h ^ h, or c ^ h. Taking the square root of both sides =!26 37 of this equation yields c . Since c represents the length of the hypotenuse, side AC, c must be positive. Therefore, the length of side AC is 26 37 . Choice A is incorrect. This is the result of solving the equation =24 37-10 37 2= 10 37 2 + 24 37 2 c , not c ^ h ^ h . Choice C is incorrect. =10 37+24 37 This is the result of solving the equation c , not 2= 10 37 2 + 24 37 2 c ^ h ^ h . Choice D is incorrect and may result from conceptual or calculation errors.