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Point D and triangle ABC

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November 17, 2005
Pythagorean Theoremgeometry

Problem Statement

In △ABC \triangle ABC, we have AC \equal{} BC \equal{} 7 and AB \equal{} 2. Suppose that D D is a point on line AB AB such that B B lies between A A and D D and CD \equal{} 8. What is BD BD? <spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 23<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 5<spanclass=′latex−bold′>(E)</span> 42 <span class='latex-bold'>(A)</span>\ 3\qquad <span class='latex-bold'>(B)</span>\ 2 \sqrt {3}\qquad <span class='latex-bold'>(C)</span>\ 4\qquad <span class='latex-bold'>(D)</span>\ 5\qquad <span class='latex-bold'>(E)</span>\ 4 \sqrt {2}
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