MCQ practice · SSC Higher Mathematics Board questions · Chapter 3: Geometry
In △ABC, BC = p, CA = q, AB = r and p² > q² + r². Then-
Think it through first, then pick an option.
- a ∠A is acute
- b ∠A is obtuse
- c ∠C is obtuse
- d ∠B is obtuse
Answer and explanation
Correct answer: b ∠A is obtuse
BC = p is opposite ∠A and p² > q² + r², so ∠A is obtuse (Theorem 3).
Why the other options are wrong
- a ∠A is acute: When p² is the larger square the angle opposite p, ∠A, is obtuse, not acute.
- c ∠C is obtuse: The side opposite ∠C is AB = r; ∠C would be obtuse only if r² were the larger.
- d ∠B is obtuse: The side opposite ∠B is CA = q; ∠B would be obtuse only if q² were the larger.
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