Right angle

In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle.

Correct answer:

a =  7.8136 cm
b =  22.6924 cm

Step-by-step explanation:

c=24 cm B=71   cos B= a:c  a=c cosB=c cos71° =24 cos71° =24 0.325568=7.814=7.8136 cm
sin B= b:c  b=c sinB=c sin71° =24 sin71° =24 0.945519=22.692=22.6924 cm

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