Suppose the altitude to the hypotenuse of a right triangle bisects the hypotenuse. how does the length of the altitude compare with the lengths of the segments of the hypotenuse?

a) the length of the altitude is equal to twice the length of one of the segments of the hypotenuse.
b) the length of the altitude is equal to half the length of one of the segments of the hypotenuse.
c) the length of the altitude is equal to the length of one of the segments of the hypotenuse.
d) the length of the altitude is equal to the sum of the lengths of the segments of the hypotenuse.

Option: C is correct.

c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.

Step-by-step explanation:

By the Right Triangle Altitude Theorem:

The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

From the figure we could say that:

As the hypotenuse is divided into divided into two equal parts since the altitude bisects the hypotenuse of the right triangle.

This means that:

CD=DB

Hence,

Hence, we could say that:

c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.

i think option 4 is correct answer.