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Question 80219788

Geometry and Trigonometry - Lines, angles, and triangles

The figure presents right triangle A B C . Side A C is horizontal, vertex C is to the right of vertex A, vertex B is above side A C , and angle A B C is a right angle. Point D lies on side A C, directly below vertex B, and vertical line segment B D is drawn, dividing triangle A B C into two smaller triangles, triangle A B D and triangle B D C. Angle A D B is a right angle. A note states that the figure is not drawn to scale.

In the figure above, $the length of line segment B D equals 6$ and $the length of line segment A D equals 8$ . What is the length of $line segment D C$ ?