Math, asked by hrik2, 1 year ago

plzz solv Q 14 ..... plzz solve it fast

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Answered by salonichoudhary
1
Given:-
ABCD is a parallelogram
AM and CN are perpendiculars on BD
To prove:-
AM=CN
Proof:-
first we have to prove ∆AMB=~ ∆CND

AB = CD(opp. sides of a parallelogram are equal)

angle AMB =angle CND(AM & CN are perpendiculars on BD)

angle ABM = angle CDN (alternate interior angle) (AB || CD,BD is transversal)

therefore,∆AMB =~ ∆CND (by A.A.S.)
AM=CN ( by C.P.C.T)

HENCE , PROVED!
Answered by Anonymous
0
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