Question

Find the length of the altitude to the hypotenuse. round the answer to the nearest tenth, if needed.

Answer 1

Answer : The correct option is, (B) 56.8

Step-by-step explanation :

Right Triangle Altitude Theorem:

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

We are drawing a line from vertex to hypotenuse side.

As per theorem:

$\frac{BD}{AB}=\frac{CB}{AC}$

$\frac{BD}{60}=\frac{175}{185}$

$BD=\frac{175\times 60}{185}$

$BD=56.8$

Therefore, the length of the altitude to the hypotenuse is 56.8