In the adjacent figure, ABCD is a rectangle. If BM and DN are
perpendiculars from B and D on AC, prove that A BMC = ADNA. Is it
true that BM = DN?
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In triangle BMC and triangle DNA
BC = AD ( opposite sides of rectangle are equal )
∠BCM = ∠MAD ( Alternate angles )
∠BCM = ∠DNA ( BM and DN are Perpendicular to AC )
Therefore,
By AAS Criterion Rule,
▲ BMC ≅ ▲ DNA
By CPCT,
BM = DN.
HENCE PROVED
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