In a rectangular triangle ABC, the angle of the straight line BC = 12 AB = 13, find tgА
| April 25, 2021 | education
In triangle abc, the hypotenuse ab = 13 is known, and leg bs = 12. Hence, by the Pythagorean theorem we can determine the second leg ac = √ (ab ^ 2 – sun ^ 2) = √ (13 ^ 2 – 12 ^ 2) = √ ( 169 – 144) = √25 = 5 (units).
We take only the positive root +5.
By definition, tgA = sun / ac = 12/5 = 2.4> 1, which means <A> 45 (degrees).
Answer: tgA = 2.4.
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