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Choice C is correct. Since the triangle is an isosceles right triangle, the two sides that form the right angle must be the same length. Let x be the length, in inches, of each of those sides. The Pythagorean theorem states that in a right triangle, 2+ 2= 2 a b c , where c is the length of the hypotenuse and a and b are the lengths of the other two sides. Substituting x for a, x for b, and 58 for c in this 2 +2 =2 2= 2 equation yields x x58 , or 2x 58 . Dividing each side of this equation 2=582 2=2  582 by 2 yields x , or x . Taking the square root of each side of this 2 4 =58 2 =-58 2 equation yields two solutions: x and x . The value of x must be 2 2 =58 2 = positive because it represents a side length. Therefore, x , or x 29 2. 2 + + + The perimeter, in inches, of the triangle is 58 x , oxr 58 2x. Substituting + ( ) 29 2 for x in this expression gives a perimeter, in inches, of 58 2 29 2 , or + 58 58 2. Choice A is incorrect. This is the length, in inches, of each of the congruent sides of the triangle, not the perimeter, in inches, of the triangle. Choice B is incorrect. This is the sum of the lengths, in inches, of the congruent sides of the triangle, not 41 SAT PRACTICE TEST #4 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS nnn MATH: MODULE 1 the perimeter, in inches, of the triangle. Choice D is incorrect and may result from conceptual or calculation errors.