Question

∠A is right angle in ΔABC. AD is an altitude of the triangle. If AB=√ 5, BD=2, find the length of the hypotenuse of the triangle.

Answer 1

According to Geometric Mean Theorem.

If h denotes the altitude in a right triangle and p and q the segments on the hypotenuse then the theorem can be stated as:

$h= \sqrt{pq}$.

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