Given right triangle ABC with altitude BD drawn to hypotenuse AC

Given:

In right triangle ABC, BD is the altitude drawn to hypotenuse AC.

To find:

The length of BD.

Solution:

According to geometric mean theorem of triangles, if an altitude is drawn to the hypotenuse of a triangle, then the altitude is the geometric mean of the segments of the hypotenuse.

Using geometric mean theorem of triangles, we get

Taking square root on both sides, we get

Therefore, the length of BD is 30 units and the correct option is C.

homozygous. one is homozygous, while two is heterozygous.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743