MCQ practice · SSC Higher Mathematics Board questions · Chapter 4: Geometric Constructions
A triangle can be constructed when: Which of the following is correct?
- i. the base, an angle adjoining the base and the height are given
- ii. the base, the vertical angle and the sum of the other two sides are given
- iii. an angle adjoining the base, the height and the sum of the other two sides are given
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: d i, ii and iii
i is the data of Construction 1, ii of Construction 2 and iii of exercise 6; a triangle can be constructed in all three cases.
Why the other options are wrong
- a i and ii: iii is also true: with an adjoining angle, the height and the sum of the other two sides (exercise 6) a triangle can be drawn, so i and ii are not all.
- b i and iii: ii is also true: Construction 2 draws a triangle from the base, the vertical angle and the sum of the other two sides, so ii cannot be left out.
- c ii and iii: i is also true: Construction 1 draws a triangle from the base, an adjoining angle and the height, so i cannot be left out.
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