In triangle ABC, angle c is 90, cos A = 7/8, AC = 14. Find AB.
| May 1, 2021 | education
We write the definition of the cosine of an angle in a right-angled triangle, as the ratio of the adjacent leg AC to the hypotenuse AB:
Сos A = AC / AB.
The cosine and leg are known by condition, we express and find the hypotenuse AB:
AB = AC / cos A = 14/7/8 = 14/1 * 8/7 = 16.
Answer: The hypotenuse AB is 16.
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