In a right-angled triangle ABC, the angle C is 90 degrees AB is equal to 20 centimeters AC 12
| September 5, 2021 | education
In a right-angled triangle ABC, the angle C is 90 degrees AB is equal to 20 centimeters AC 12 centimeters. Find BC and cosine C.
In a right-angled triangle ABC, according to the Pythagorean theorem, we determine the length of the BC leg,
BC ^ 2 = AB ^ 2 – AC ^ 2 = 400 – 144 = 256.
BC = 16 cm.
Since the angle is C = 90, then Cos90 = 0.
CosA = AC / AB = 12/20 = 0.6.
CosB = BC / AB = 16/20 = 0.8.
Answer: The length of the BC leg is 16 cm, CosC = 0, CosA = 0.6, CosB = 0.8.
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