Find the length of the hypotenuse AB of a right-angled triangle ABC, if it is known that BC = 2.5 cm, angle B = 60 degrees.
| September 4, 2021 | education
A triangle in which one angle is 90º is called rectangular.
To calculate the length of the hypotenuse AB, 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;
AB = BC / cos B;
cos 60º = 1/2;
AB = 2.5 ∙ 1/2 = 1.25 cm.
Answer: the length of the hypotenuse AB is 1.25 cm.
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