2007 AMC 12B Problems/Problem 25

Problem

Points $A,B,C,D$ and $E$ are located in 3-dimensional space with $AB=BC=CD=DE=EA=2$ and $\angle ABC=\angle CDE=\angle DEA=90^o$ . The plane of $\triangle ABC$ is parallel to $\overline{DE}$ . What is the area of $\triangle BDE$ ?

$\mathrm {(A)} \sqrt{2}\qquad \mathrm {(B)} \sqrt{3}\qquad \mathrm {(C)} 2\qquad \mathrm {(D)} \sqrt{5}\qquad \mathrm {(E)} \sqrt{6}$

Solution

2007 AMC 12B (Problems • Answer Key • Resources)
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All AMC 12 Problems and Solutions

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2007 AMC 12B Problems/Problem 25

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