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5 which measurements could not represent the side lengths of a right tr…

Question

5 which measurements could not represent the side lengths of a right triangle? a 9 ft, 12 ft, 15 ft b 5 ft, 10 ft, 15 ft c 10 ft, 24 ft, 26 ft d 8 ft, 15 ft, 17 ft

Explanation:

Step1: Test Option A with Pythagoras

$9^2 + 12^2 = 81 + 144 = 225$, $15^2 = 225$

Step2: Test Option B with Pythagoras

$5^2 + 10^2 = 25 + 100 = 125$, $15^2 = 225$

Step3: Test Option C with Pythagoras

$10^2 + 24^2 = 100 + 576 = 676$, $26^2 = 676$

Step4: Test Option D with Pythagoras

$8^2 + 15^2 = 64 + 225 = 289$, $17^2 = 289$

Answer:

B. 5 ft, 10 ft, 15 ft