Geometry and TrigonometryVery hardAltitude from the segments of a hypotenuse
Geometry and Trigonometry practice question
In a right triangle, the altitude to the hypotenuse divides the hypotenuse into segments of length 4 and 9. What is the length of the altitude?
Answer: 6
The altitude is the geometric mean of the segments: √(4 × 9) = 6.
Common wrong answers
- If you answered 13
- 13 is the hypotenuse.
- If you answered 36
- 36 is the product, before taking the root.
- If you answered 6.5
- 6.5 is the arithmetic mean of 4 and 9.
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