MathDB
Turkey NMO 2008 1st Round - P09 (Geometry)

Source:

August 25, 2012
geometryanalytic geometryrotationtrapezoid

Problem Statement

Let EE be a point outside the square ABCDABCD such that m(BEC^)=90∘m(\widehat{BEC})=90^{\circ}, F∈[CE]F\in [CE], [AF]⊥[CE][AF]\perp [CE], ∣AB∣=25|AB|=25, and ∣BE∣=7|BE|=7. What is ∣AF∣|AF|?
<spanclass=′latex−bold′>(A)</span> 29<spanclass=′latex−bold′>(B)</span> 30<spanclass=′latex−bold′>(C)</span> 31<spanclass=′latex−bold′>(D)</span> 32<spanclass=′latex−bold′>(E)</span> 33 <span class='latex-bold'>(A)</span>\ 29 \qquad<span class='latex-bold'>(B)</span>\ 30 \qquad<span class='latex-bold'>(C)</span>\ 31 \qquad<span class='latex-bold'>(D)</span>\ 32 \qquad<span class='latex-bold'>(E)</span>\ 33
Back to ProblemsView on AoPS