In triangle ABC, angle C is 90 °, AB = 16, tg A = 1/3. Find AC.
June 26, 2021 | education
| To solve this problem, remember that tgA = BC / AC.
This means that the sizes of the legs BC and AC are referred to as 1/3.
Denoting the unknown value BC through X, we get AC = 3X.
According to the Pythagorean theorem, we compose the equation:
AB ^ = AC ^ + BC ^.
256 = 9X ^ + X ^.
256 = 10X ^.
From where, with an acceptable margin of error, we find:
X = 5.06.
Respectively:
3X = 15.18.
Answer: The AC side is 15.18.
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