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Find x if sides of a right triangle are 9, x and 15 with 15 the hypotenuse.
A8
B10
C11
D12
Answer & Solution
Correct answer: D. 12
1. By the theorem 9^2 + x^2 = 15^2.
2. 81 + x^2 = 225.
3. x^2 = 144, so x = 12.
4. Hence x = 12.
_Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on numerical example_
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