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CDS 2022 · PYQ · Geometry · medium

ABC is a triangle right angled at B with AC = 2BC. If ∠A = x, then what is ∠C equal to?

Answer

The correct answer is C: 2x. sin A = BC/AC = 1/2, so ∠A=30°. Then ∠C=60°=2x.

  1. A.√2 x
  2. B.√3 x
  3. C.2x✓ Correct
  4. D.x/2

Explanation

sin A = BC/AC = 1/2, so ∠A=30°. Then ∠C=60°=2x.
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