Question 323713
{{{AC^2+BC^2=AB^2}}}
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{{{AC^2+CE^2=AE^2=49}}}
{{{AC^2+(BC/2)^2=49}}}
1.{{{AC^2+BC^2/4=49}}}
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{{{BC^2+CD^2=26^2}}}
{{{BC^2+(AC/2)^2=676}}}
2.{{{BC^2+AC^2/4=676}}}
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Add eq. 1 and eq. 2,
{{{AC^2+BC^2/4+BC^2+AC^2/4=49+676}}}
{{{(5/4)AC^2+(5/4)BC^2=725}}}
{{{AC^2+BC^2=(4/5)(725)}}}
{{{AB^2=580}}}
{{{AB=sqrt(580)}}}
{{{AB=2sqrt(145)}}}