document.write( "Question 1062427: In the square ABCD. AE is an angle bisector of BAC, and EF is perpendicular to AC. If AB = 4 cm, then the length of AE is ..... my answer is 3 root 2. But the answer key has different result. Please help \n" ); document.write( "
Algebra.Com's Answer #677345 by rothauserc(4718)\"\" \"About 
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AE^2 = AF^2 + EF^2
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\n" ); document.write( "AF = (1/2) * length of diagonal = (1/2) * (4 * square root(2)) = 2 * square root(2)
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\n" ); document.write( "tangent(22.5) = EF / (2 * square root(2))
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\n" ); document.write( "EF = (0.414) * (2 * square root(2)) = 0.828 * square root(2)
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\n" ); document.write( "Note that tangent(22.5) = 0.414
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\n" ); document.write( "AE^2 = (2 * square root(2))^2 + (0.828 * square root (2))^2 = 9.37
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\n" ); document.write( "AE = 3.06 cm
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