document.write( "Question 597574: In triangle ABC, AB = AC, and line segment AD bisects line BC. If AB = 6 and BC = 4, then what is the length of AD ?
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Algebra.Com's Answer #378243 by w_parminder(53)\"\" \"About 
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Triangle ABC is an isosceles triangle as AB = AC, therefore the median AD is perpendicular to the base BC. So, in triangle ABD, angle ADB = 90 degree. In triangle ABD, AB = 6, BD = BC/2 i.e. BD = 2. We can apply pythagoras theorem,i.e.
\n" ); document.write( "\"P%5E2%2BB%5E2=H%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"AD%5E2%2BBD%5E2=AB%5E2\"
\n" ); document.write( "\"AD%5E2%2B2%5E2=6%5E2\"
\n" ); document.write( "\"AD%5E2%2B4=36\"
\n" ); document.write( "\"AD%5E2=36-4\"
\n" ); document.write( "\"AD%5E2\" = 32\r
\n" ); document.write( "\n" ); document.write( "AD = √32
\n" ); document.write( "AD ≈ 5.657
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