MCQ practice · SSC Higher Mathematics Board questions · Chapter 3: Geometry
In △DEF, EF² > DE² + DF². Which of the following is correct?
- i. ∠D is obtuse
- ii. ∠E is a right angle
- iii. ∠F is acute
Think it through first, then pick an option.
- a i and ii
- b i and iii
- c ii and iii
- d i, ii and iii
Answer and explanation
Correct answer: b i and iii
i and iii are true: ∠D, opposite EF, is obtuse and the remaining angle ∠F is acute; ii is false.
Why the other options are wrong
- a i and ii: i is true but ii is false: since EF² is larger ∠D is obtuse; ∠E is not a right angle.
- c ii and iii: ii is false: ∠E would be a right angle only if DF² = DE² + EF², which is not the case.
- d i, ii and iii: Because ii is false the three cannot all be true.
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