Triangle ABC angle C is 90 degrees BC is 6 √6 AC is 3, find cos A.

In a right-angled triangle ABC, according to the Pythagorean theorem, we determine the length of the hypotenuse AB.

AB ^ 2 = AC ^ 2 + BC ^ 2 = 9 + 216 = 225.

AB = 15 cm.

The cosine of an acute angle of a right-angled triangle is the ratio of the adjacent leg to the hypotenuse: CosBAC = AC / AB = 3/15 = 1/5.

Answer: The cosine of angle A is 1/5.



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