Math, asked by amruthahasini10, 8 months ago

can u please alive the sum guys​

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Answers

Answered by smitakalburgi
1

Step-by-step explanation:

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Answered by 24323pragyasharma
1

Step-by-step explanation:

In the triangles ABC and CDA, we have

AB = CD ( opposite sides of rectangle )

BC = DA ( opposite sides of rectangle )

AC = CA ( common )

Therefore, ∆ABC is congruent to ∆CDA ( By SSS congruence criteria )

Therefore, Angle CAD = Angle ACB ( CPCT )....(1)

Now, in triangles ADN and BCM, we have,

Angle AND = Angle CMB ( each of 90°)

Angle NAD = Angle MCB ( Proved in (1) )

AD = CB ( opposite sides of rectangle )

Therefore, ∆ADN is congruent to ∆BCM ( by AAS congruence criteria )

Therefore, side AN = CM ( CPCT )

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