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18. Two sides AB & BC and median AM of Δ ABC are respectively equal to sides PQ &QRARONand median PNofΔ PQR. Show that Δ ABM |
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Answer» Since AM & PN is the median of ∆ABC (i)1/2 BC = BM & 1/2QR = QN (AM and PN are median) Now, BC = QR. (given) ⇒ 1/2 BC = 1/2QR (Divide both sides by 2) ⇒ BM = QN In ΔABM and ΔPQN, AM = PN (Given) AB = PQ (Given) BM = QN (Proved above) Therefore, ΔABM ≅ ΔPQN (by SSS congruence rule) ∠B = ∠Q (CPCT) |
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