MCQ practice · SSC Higher Mathematics Board questions · Chapter 4: Geometric Constructions
The height h, the median d on the base and an angle ∠x adjoining the base of a triangle are given. To construct the triangle: which of the following is correct?
- i. a perpendicular must be drawn on the base
- ii. ∠x must be bisected
- iii. a part equal to d must be cut from the base
Think it through first, then pick an option.
- a i
- b ii
- c i and ii
- d i, ii and iii
Answer and explanation
Correct answer: a i
i is true: the perpendicular BQ to BE is drawn at B; ii and iii are false.
Why the other options are wrong
- b ii: ii is false: ∠x is not bisected, an angle equal to ∠x is drawn; and the true i is left out.
- c i and ii: ii is false: ∠x is not bisected, ∠EBP equal to ∠x is drawn.
- d i, ii and iii: ii and iii are both false: in iii d is not cut from the base, it is the radius of the arc centred at A.
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