Geometry and TrigonometryHardHypotenuse from a tangent and a leg
Geometry and Trigonometry practice question
In right triangle ABC, the right angle is at C and tan A = 2. If BC = 8, what is the length of AB, rounded to the nearest tenth?
Answer: 8.9
tan A = BC/AC gives AC = 4, so AB = √(64 + 16) = √80 ≈ 8.9.
Common wrong answers
- If you answered 4
- 4 is AC.
- If you answered 16
- 16 doubles BC, treating it as AC.
- If you answered 17.9
- 17.9 uses AC = 16.
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