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In Fig. 6.38, altitudes AD and CE of triangle ABC intersect each other at the point P. Show that: triangle ABD similar triangle CBE

 Q7  (2)   In Fig. 6.38, altitudes AD and CE of \Delta ABC  intersect each other at the point P. Show that:  

             \Delta ABD \sim \Delta CBE

               

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To prove : \Delta ABD \sim \Delta CBE

In \Delta ABD \, \, and\, \, \Delta CBE,

        \angle ADB=\angle CEB     ( Both angles are right angle)

     \angle ABD=\angle CBE        (Common )

\Delta ABD \sim \Delta CBE    ( By AA criterion)

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