X BD X (AM + CN)
34. In the given figure, ABCD is a quadrilateral. Prove that ar(quadrilateral ABCD) =
where AM and CN are perpendiculars on diagonal BD.
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Step-by-step explanation:
In △AMO and △CNO
AM=CN (Given)
∠AMO=∠CNO=90
∘
∠AOM=∠CON (vert. opp. ∠s)
∴ △AMO≅△CNO (AAS)
⇒ AO=OC (cpct)
Hope it helps you!
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