In triangle ABC, angle C = 90 degrees, AB = 15cm, CB = 7.5cm. What is angle B?
| August 15, 2021 | education
A triangle in which one angle is 90º is called rectangular.
to calculate the angle ∠B we use the cosine theorem.
The cosine of an acute angle of a right-angled triangle is the ratio of the adjacent leg to the hypotenuse:
cos B = BC / AB;
cos B = 7.5 / 15 = 1/2;
1/2 = cos 60º.
Answer: the angle ∠B is equal to 60º.
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