SOHCAHTOA: find the side opposite a 35° angle

An example figure from the Triangle Generator.

Right triangle ABC with a 35° angle at A, a right angle at B, the hypotenuse labeled 12 cm and the side opposite A labeled x
A right triangle ABC with a 35° angle at A and a right-angle square at B. The hypotenuse CA is labeled 12 cm and the side BC, opposite the 35° angle, is labeled x; the side AB next to it has no label. Students pick sine to find x.

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Answer key

  • AB = 9.8 cm
  • BC = 6.9 cm
  • ∠C = 55°

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