In triangle ABC, angle C = 90∘, angle B = 60∘, CB = 16. Find the length of the side AB.
July 27, 2021 | education|
A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.
A triangle in which one of the angles is 90º is called rectangular.
In order to calculate the length of the hypotenuse AB, apply 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;
AB = BC / cos B;
cos 60º = 1/2 = 0.5;
AB = 16 / 0.5 = 32 cm.
Answer: the length of the hypotenuse AB is 32 cm.
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