MCQ practice · SSC General Mathematics Board questions · Chapter 9: Trigonometric Ratio
Each side of △PQR is 8 cm and PM ⊥ QR. What is the length of PM in cm?
Think it through first, then pick an option.
- a 4√3
- b 4
- c 5
- d 5√3
Answer and explanation
Correct answer: a 4√3
The triangle is equilateral, so QM = 4 and PM = √(64 − 16) = √48 = 4√3.
Why the other options are wrong
- b 4: 4 is QM, half the side; PM is the altitude 4√3.
- c 5: 5 recalls the triple 3-4-5, which does not apply here; PM = 4√3.
- d 5√3: 5√3 is impossible: PM is shorter than the side 8, but 5√3 ≈ 8.66.
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