The Math Meridian
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Solve right triangles

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Learn it In a right triangle, SOH CAH TOA links an angle to two sides: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. Use the inverse (sin⁻¹, cos⁻¹, tan⁻¹) to find an angle. The two acute angles add to 90°.

Example: In right △ABC, ∠C = 90°, ∠A = 35° and c = 12 cm. Find a.

  1. a is opposite A and c is the hypotenuse: sin 35° = a/12.
  2. a = 12 sin 35° ≈ 6.9 cm.

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