A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle’s hypotenuse, in centimeters, can be written in the form 3 d, where d is an integer, what is the value of d?
","rationale_html":"113 The correct answer is . It’s given that the legs of a right triangle have lengths 24 21 centimeters and centimeters. In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs. It follows that if h represents the length, in centimeters, of the hypotenuse of the 2=242+212 2=1,017 right triangle, h . This equation is equivalent to h . Taking the = 1,017 square root of each side of this equation yields h . This equation can be = 9$113 = 9$ 113 rewritten as h , or h . This equation is equivalent to =3 113 h . It’s given that the length of the triangle’s hypotenuse, in centimeters, 113 can be written in the form 3 d. It follows that the value of d is .
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