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25 cm
Step-by-step explanation:
make triangle ADE and ABP similar by using three angles angle A is common and others two are correspond angle because DE // BP.
using the property of similar triangles we know that
AD/AB =AE/AP = DE/DP
AB=2 AD ( D is midpoint)
so AE= AP/2
Means E is midpoint of AP
PC = AP/2 (Given)
so AE = PC= 25cm
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