UPSKILL MATH PLUS

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In the given figure, altitudes \(AD\) and \(CE\) of \(\Delta ABC\) intersect each other at the point \(P\). Show that:
 
(i) \(\Delta AEP \sim \Delta CDP\)
 
(ii) \(\Delta ABD \sim \Delta CBE\)
 
(iii) \(\Delta AEP \sim \Delta ADB\)
 
(iv) \(\Delta PDC \sim \Delta BEC\)
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.