Question

the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length of the altitude.

Answer 1

Answer:

B. $4\sqrt{7}$

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

$h = \sqrt{(xy)}$

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = $h = \sqrt{(14*8)}$

$h = \sqrt{112}$

$h = \sqrt{16}*\sqrt{7}$

$h = 4\sqrt{7}$