In triangle ABC AC = BC, AB = 20, AH-height, BH = 5 Find cosine A.
| August 14, 2021 | education
Because AC is equal to BC, then ABC is an isosceles triangle. Then angle A = angle B.
So we can find the cosine of the angle B from the right-angled triangle AHB.
Cosine is the ratio of the adjacent leg (BH) to the hypotenuse (AB). Then:
Cos A = Cos B = BH / AB = 5/20 = 0.25.
Answer: Cos A = 0.25.
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