In triangle ABC, angle C = 90 *, AB = 18cm, AC = 9cm What is angle A?

A triangle in which one angle is 90º is called rectangular.

To calculate the angle ∠A, it is most convenient to 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 A = AC / AB;

cos A = 9/18 = 1/2 = 0.5.

1/2 = 0.5 = cos 60º.

Answer: the degree measure of the angle ∠A is equal to 60º.



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