MathDB
Length of a Segment

Source:

March 3, 2010

Problem Statement

In triangle ABC ABC, CD CD is the altitude to AB AB and AE AE is the altitude to BC. BC. If the lengths of AB,CD, AB, CD, and AE AE are known, the length of DB DB is: <spanclass=′latex−bold′>(A)</span> not determined by the information given <span class='latex-bold'>(A)</span>\ \text{not determined by the information given} \qquad <spanclass=′latex−bold′>(B)</span> determined only if A is an acute angle <span class='latex-bold'>(B)</span>\ \text{determined only if A is an acute angle} \qquad <spanclass=′latex−bold′>(C)</span> determined only if B is an acute angle <span class='latex-bold'>(C)</span>\ \text{determined only if B is an acute angle} \qquad <spanclass=′latex−bold′>(D)</span> determined only in ABC is an acute triangle <span class='latex-bold'>(D)</span>\ \text{determined only in ABC is an acute triangle} \qquad <spanclass=′latex−bold′>(E)</span> none of these is correct <span class='latex-bold'>(E)</span>\ \text{none of these is correct}
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