Triangle ABC. Angle C = 90, AC = 8, AB = 10. Find tg of angle A.

To find the tangent, we need the second leg. We find the unknown leg BC by the Pythagorean theorem:
BC = √ (AB² – AC²) = √ (100 – 64) = √36 = 6.
Let’s write down the definition of the tangent of angle A and find it:
Tg A = BC / AC = 6/8 = 3/4.
Answer: the tangent of angle A is 3/4.

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