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SSC CHSL 2021 · PYQ · Mensuration · medium

The sum of all the three sides of an equilateral triangle is 15√3 cm. The height of the triangle is:

Answer

The correct answer is C: 7.5 cm. Side of equilateral triangle = 15√3/3 = 5√3 cm. Height = (√3/2) × 5√3 = (√3 × 5√3)/2 = 15/2 = 7.5 cm.

  1. A.7 cm
  2. B.9 cm
  3. C.7.5 cm✓ Correct
  4. D.8 cm

Explanation

Side of equilateral triangle = 15√3/3 = 5√3 cm. Height = (√3/2) × 5√3 = (√3 × 5√3)/2 = 15/2 = 7.5 cm.
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