Sides of a right-angled triangle ABC where angle C = 90 degrees, a = 5, c = 6 Find the unknown side and angles.
| March 15, 2021 | education
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 = 36 – 25 = 11.
AC = √11 cm.
SinBAC = BC / AB = 5/6.
Angle BAC = arcsin (5/6).
In a right-angled triangle, the sine of one acute angle is equal to the cosine of another acute angle, then the angle ABC = arcos (5/6).
Answer: The length of the AC side is √11 cm, angle A = arcsin (5/6), angle B = arcos (5/6).
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