The perpendicular dropped from a vertex of a right-angled triangle upon the hypotenuse divides it into two segments of lengths 9 units and 16 units respectively. What is the length of the perpendicular?
- A. 6 units
- B. 8 units
- C. 10 units
- D. 12 units ✓
Correct Answer: D. 12 units
Explanation
In a right triangle, the altitude to the hypotenuse is the geometric mean of the segments it divides the hypotenuse into: p = \sqrt{m \times n}. Length = \sqrt{9 \times 16} = \sqrt{144} = 12 units.
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