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

1 answer

###### Question:

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

## Answers

Answer : The correct option is, (B) 56.8Step-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

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