Lines, angles, and triangles

Hard Math · Geometry and Trigonometry · Lines, angles, and triangles · SPR

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 $line segment D C$ ?

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id cb_question_bank:f0db7042-55d1-4548-8332-dc1db28dcdb5 · question 6a3fbec3 · IBN 070630-DC · JSON