Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15 , 36 , and 41 as side lengths. Choose four correct answers regarding the side lengths Mrs. Ibarra chose.

The side lengths can form a triangle because 15 + 36 = 51, which is greater than 41; the other triangle inequalities also hold. For a right triangle, the squares of the two shorter sides must add to the square of the longest side. Here, 15² + 36² = 225 + 1,296 = 1,521, while 41² = 1,681, so the lengths do not make a right triangle. Thus the correct statements are that 41 squared is 1,681, the Pythagorean relationship does not hold, the lengths form a triangle, and 15 squared plus 36 squared is 1,521.

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