In triangle ABC, angle C is 90 °, AB = √109, AC = 10. Find tg A.
| June 26, 2021 | education
Explanation: The tangent of the angle is equal to the ratio of the adjacent leg to the opposite leg. The adjacent leg is known, we look for the opposite leg using the Pythagorean theorem.
tgA = AC / CB;
AB ^ 2 = AC ^ 2 + CB ^ 2;
CB = √ (√109 ^ 2 – 10 ^ 2) = √ (109 – 100) = √9 = 3 cm;
tgA = 10/3.
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