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

always

sometimes

never

Answer: always

Step-by-step explanation:

A right triangle is a kind of triangle with one right angle.

Side opposite to right angle is known as hypotenuse. Other two sides is known as legs.

A theorem of right triangle says that : -

When the altitude drawn from the right angle to the hypotenuse splits the hypotenuse into two sections of segments. Then the length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Hence, the statement "The altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse." is always true.

Thus, the correct answer is "always".