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all the sides are equal.
the base is equally divided by the median
so by sss theory, the two triangle are congruent
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Step-by-step explanation:
given
AB = PQ
BC= QR
AM= PN
AND AM IS THE MEADIAN OF TRIANGLE ABC
so,BM= CM=1/2 BC
also PN is the median of triangle PQR
so QN= RN=1/2QR
SO
BC= QR
1/2 BC= 1/2QR
BM= QN
In triangle ABM And PQN
AB= PQ
AM= PN
BM= QN
Hence prove ∆ ABM Congruent ∆ PQN
2. now we just prove ∆ ABM=∆PQN
angle B = angle Q( by cpct). equation 1
now in ∆ ABC AND ∆ PQR
AB= OQ (given)
angle B= angle Q ( from equation 1)
BC= QR ( given)
hence prove ∆ ABC Congruent ∆ PQR. (by SAS congruence rule)
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