MathDB
Larger of a Segment Cut By a Point

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June 13, 2009
trigonometrygeometryarea of a triangleHeron's formulatrig identitiesLaw of Cosines

Problem Statement

The sides of a triangle are 30 30, 70 70, and 80 80 units. If an altitude is dropped upon the side of length 80 80, the larger segment cut off on this side is: <spanclass=′latex−bold′>(A)</span> 62<spanclass=′latex−bold′>(B)</span> 63<spanclass=′latex−bold′>(C)</span> 64<spanclass=′latex−bold′>(D)</span> 65<spanclass=′latex−bold′>(E)</span> 66 <span class='latex-bold'>(A)</span>\ 62\qquad <span class='latex-bold'>(B)</span>\ 63\qquad <span class='latex-bold'>(C)</span>\ 64\qquad <span class='latex-bold'>(D)</span>\ 65\qquad <span class='latex-bold'>(E)</span>\ 66
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