In triangle ABC, angle C is 90 degrees, tg A = 0.75, AC = 8. Find AB.
| September 19, 2021 | education
1. Calculate the length of the BC leg through the tangent ∠А.
The tangent ∠A is the quotient of dividing the length of the leg of the BC, located opposite to ∠A, by the length of the leg of the AC, which is one of the sides of this angle, that is, adjacent to it.
Tangent ∠A = BC: AC = 0.75.
BC = AC x 0.75 = 8 x 0.75 = 6 units.
2. AB = √AC² + BC² (by the Pythagorean theorem).
AB = √8² + 6² = √64 + 36 = √100 = 10 units.
Answer: AB length is equal to 10 units.
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