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A quadrilateral ABCD is drawn to …

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A quadrilateral ABCD is drawn to circumscribe a circle 6 figure 10.12 prove that AB + CD is equal to ad + BC

Posted by Mđ Ąmãăņ 5 years ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years ago

AB+CD=AD+BC

Proof :

AP=AS

PB=BQ

CQ=CR

RD=DS (the length of tangent drawn from an external point to a circle are equal)

AP + PB + RD + CR = AS + BQ + DS + CQ

=>AB + CD = AD + BC

Hence proved

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CBSE > Class 10 > Mathematics