Question

ABCD is a square. M is the mid-point of AB. E is a point on AD.EM produced meets

CB produced at F. If AB = 5 cm and EA = 1 cm, then find CF.​

Answer 1

Answer:

ΔPAMandΔBMQ

∠PMA=∠BMQ=α

AM=MB

∠PAM=∠MBQ=90

∘

InΔCPQ

LM⊥PQ

PM=MQ

CP=CQ(isoscelesΔCPQ)

CQ=CB+BQ

CQ=AB+BQ

So,BA=BQ