(i) In the figure, ∆ ABC ~ ∆ MNO. D is the midpoint of side AC and P is the midpoint
of side MO, then
(a) Prove : ∆ABD ~ ∆MNP
(b) Prove. BD/NP = AB/MN
(C) Write your conclusion from the
result obtained in (b).
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Step-by-step explanation:
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∆ABD ≈ ∆MNP & BD/NP = AB/MN
Step-by-step explanation:
∆ ABC ~ ∆ MNO
=> AB/MN = AC/MO = BC/NO
∠A = ∠M
∠B = ∠N
∠C = ∠O
D is mid point of AC
=> AD = DC = AC/2
P is mid point of MO
=> MP = OP = MO/2
=> AD/MP = (AC/2)/(MO/2) = AC/ MO
=> in ∆ABD & ∆MNP
AB/MN = AD/MP
& ∠A = ∠M
=> ∆ABD ≈ ∆MNP
AB/MN = AD/MP = BD/NP
=> BD/NP = AB/MN
=> ∆CBD ≈ ∆ONP
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