SSC MTS 2025 · PYQ · Mensuration · medium
The area of an equilateral triangle is 81√3 cm². Find its side and altitude.
Answer
The correct answer is D: Side = 18 cm, Altitude = 9√3 cm. (√3/4)×side² = 81√3 gives side² = 324, so side = 18 cm. Altitude = (√3/2)×18 = 9√3 cm.
- A.Side = 9 cm, Altitude = 9√3 cm
- B.Side = 18 cm, Altitude = √3 cm
- C.Side = 8 cm, Altitude = √3 cm
- D.Side = 18 cm, Altitude = 9√3 cm✓ Correct
(√3/4)×side² = 81√3 gives side² = 324, so side = 18 cm. Altitude = (√3/2)×18 = 9√3 cm.
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