In triangle ABC, angle C is 90 degrees, sinA = 7/8, AC = √15. find AB.
| August 6, 2021 | education
Let the length of BC = 7 * X cm, then AB = 8 * X cm.
By the Pythagorean theorem, AB ^ 2 = BC ^ 2 + AC ^ 2.
64 * X ^ 2 = 49 * X ^ 2 + 15.
15 * X ^ 2 = 15.
X ^ 2 = 1.
X = BC = 7 cm, AB = 8 * 1 = 8 cm.
Answer: The length of the hypotenuse AB is 8 cm.
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