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8 February, 08:51

Which set of numbers can represent the side lengths, in centimeters, of a right triangle?

A. 8,12,15

B. 10,24,26

C. 12,20,25

D. 15,18,20

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Answers (1)
  1. 8 February, 10:24
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    For right angle triangles, we can apply pythagora's theorem, which states that the square of the longest side, the hypotenuse, is equivalent to the sum of the squares of the other two sides; mathematically this is: c^2 = a^2 + b^2. We check to see which one of the options satisfy this equation, taking the longes side to be c. In the case of B, 26^2 = 676 and 10^2 + 24^2 = 676, so B is the answer.
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