Name: SAT Math Help & School Math Mastery
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#40542

geometry

right triangles

hard

60 sec

In the figure above, $\overline{B D}$ is perpendicular to $\overline{A C}$ , and $∠ A BC$ is a right angle. Which of the following statements correctly describes a relationship between the side lengths?
Note: Figure not drawn to scale.

A.

$A D \cdot BC = B D \cdot A C$

B.

$B D^{2} = A D \cdot D C$

C.

$A B^{2} = B D^{2} + B C^{2}$

D.

$A C = A D + B D$