MCQ practice · SSC General Mathematics Board questions · Chapter 7: Practical Geometry
In drawing a right-angled triangle with a 50° angle, which of the following is correct?
Think it through first, then pick an option.
- a base > perpendicular
- b base < perpendicular
- c base = perpendicular
- d perpendicular = hypotenuse
Answer and explanation
Correct answer: b base < perpendicular
The 50° angle sits at the base end and the perpendicular faces it; 50° > 40°, so perpendicular > base.
Why the other options are wrong
- a base > perpendicular: The perpendicular faces 50° and the base faces the other angle, 40°, so the base is the shorter.
- c base = perpendicular: They would be equal only with 45° and 45°; here the angles are 50° and 40°.
- d perpendicular = hypotenuse: The hypotenuse faces the right angle and is the longest side; the perpendicular cannot equal it.
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