alleryStart learning →Which set forms the sides of a right triangle?
A6, 8 and 12 in any order
B5, 6 and 9 in any order
C4, 5 and 7 in any order
D8, 15 and 17 in any order
Answer & Solution
Correct answer: D. 8, 15 and 17 in any order
1. Test the largest squared against sum of squares of the other two.
2. For 8, 15, 17: 8^2 + 15^2 = 64 + 225 = 289 = 17^2.
3. Equality holds, so this is a Pythagorean triple.
4. Other sets fail the test.
_Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on identification_
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