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Prove that a rectangular circumscribing a …

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Prove that a rectangular circumscribing a circle is a square

Posted by Ravi Sharma 5 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Akhifa Sheik 5 years, 11 months ago

Diagram toh nhi kar sakti... Given: abcd is a rectangle circumscribing a circle. Ab = dc Ad=bc Ye do eq. One h.....reason (opposite sides of rectangle r equal) To PT: abcd is a sq. Proof: Tangents frm an external points to the circle are equal. Therefore,ap=as.......eq 2 Bp=bq...........eq 3 Dr=ds.......eq 3 Cr=cq.........eq 4 By adding these equations Ab+bp+dr+cr=as+bq+ds+cq Ab+bp+dr+cr=as+ds+bq+cq Ab+dc=ad+bc Ab+ab=ad+ad(from eq 1) 2ab=2ad Ab=ad Hence proved

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