Which set of numbers represents the lengths of the sides of a right triangle? a. 5,10,15 b. 13,35,37 c. 9,40,41 d. 6,9,10

Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.

a) 5² + 10² = 15²
    25 + 100 = 225 *FALSE*

b) 13² + 35² = 37²
     169 + 1225 = 1369 *FALSE*

c) 9² + 40² = 41²
    81 + 1600 = 1681 *TRUE*

d) 6² + 9² = 10²
    36 + 81 = 100 *FALSE*

The answer is C) 9, 40, 41.

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