Right-triangle lengths and angles

Right-triangle lengths and angles

Secondary 2
TGM Original Questions

Find the value of each stated unknown in the following right-angled triangles. Give non-exact answers to 3 significant figures.

  1. The legs are 9 cm and 12 cm; find the acute angle \(\alpha\) opposite the 12 cm side.
  2. The hypotenuse is 20 cm and one acute angle is \(35^\circ\); find the opposite side \(b\) and adjacent side \(n\).
  3. The side adjacent to \(25^\circ\) is 10 cm; find the opposite side \(c\) and hypotenuse \(h\).
  4. The hypotenuse is 55 cm and an acute angle is \(50^\circ\); find the adjacent side \(d\) and opposite side \(q\).

Solution:

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Answer:(a) \(53.1^\circ\); (b) \(11.5\) cm, \(16.4\) cm; (c) \(4.66\) cm, \(11.0\) cm; (d) \(35.4\) cm, \(42.1\) cm.

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