Question

The altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse

A. always
B.sometimes
C. never

Answer 1

Option: A is the correct answer.

A. always

Explanation:

Right Triangle Altitude Theorem--

It states that when an altitude is drawn from the the vertex containing the right angle to the opposite side i.e. hypotenuse then the length of the altitude is the geometric means between the segments on the hypotenuse.

i.e. if we consider a right angled triangle ΔCAB with right angle at A.

Then if a altitude AD is drawn from vertex A then we have:

`AD=√(CD\cdot DB)`