In rectangular ∆ABC (angle C = 90 °) BC = 12cm, sin of angle A = 0.8. Find leg AC and hypotenuse AB.
| March 7, 2021 | education
Through the leg BC of the right-angled triangle ABC and the angle opposite to it, we determine the length of the hypotenuse BA.
SinBAC = BC / AB.
AB = BC / SinBAC = 12 / 0.8 = 15 cm.
In a right-angled triangle ABC, according to the Pythagorean theorem, we determine the length of the leg AC.
AC ^ 2 = AB ^ 2 – BC ^ 2 = 15 ^ 2 – 12 ^ 2 = 225 – 144 = 81.
AC = 9 cm.
Answer: The length of the AC leg is 9 cm, the length of the hypotenuse is 15 cm.
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