In a right-angled triangle ABC, angle A is straight, AB = 12, BC = 13, find tg of angle C.
| August 9, 2021 | education
To find the tangent of angle C, we first need to find the second leg AC. We will use the Pythagorean theorem for this.
AC = √ (BC² – AB²) = √ (169 – 144) = √25 = 5.
Now we can find the tangent of the angle C, which is the ratio of the opposite leg to the adjacent one.
Tg C = AB / AC = 12/5 = 2.4
Answer: the tangent of angle C is 2.4.
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