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:
[tex]\frac{BD}{AB}=\frac{CB}{AC}[/tex]
[tex]\frac{BD}{60}=\frac{175}{185}[/tex]
[tex]BD=\frac{175\times 60}{185}[/tex]
[tex]BD=56.8[/tex]
Therefore, the length of the altitude to the hypotenuse is 56.8
