Geometry and TrigonometryVery hardAltitude from the segments it cuts on the hypotenuse
Geometry and Trigonometry practice question
In right triangle ABC, the right angle is at C. The altitude from C meets the hypotenuse AB at point D, with AD = 4 and DB = 9. What is the length of CD?
Answer: 6
The altitude to the hypotenuse is the geometric mean of the two segments: CD² = AD × DB = 36, so CD = 6.
Common wrong answers
- If you answered 13
- 13 is AB.
- If you answered 36
- 36 is CD².
- If you answered 6.5
- 6.5 is half of AB.
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