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Are A(3, 6, 9), B(10, 20, 30) and C(25, −41, 5) the vertices of a right-angled triangle?
ANo — the squared distances do not satisfy the Pythagorean relation
BYes, right-angled at A
CYes, right-angled at B
DYes, right-angled at C
Answer & Solution
Correct answer: A. No — the squared distances do not satisfy the Pythagorean relation
AB² = 686; BC² = 4571; CA² = 2709. None of AB² + BC² = CA² (or any permutation) holds, so the triangle is NOT right-angled.
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