prove that aq=1/2(perimetre of triangleabc)
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Step-by-step explanation:
Perimeter of triangle ABC=AB+BC+CA
Now ,we know that the lenght of the tangents drawn from an external point to a circle are equal----
Hence,BM=BQ and CM=RC--------(i)
Now,
Perimeter of triangle ABC=AB+BC+CA
Perimeter of triangle ABC =AB+BM+MC+AC
Perimeter of triangle ABC =AB+BQ+CR+AC {from (i)}
Perimeter of triangle ABC =AQ+AR
Perimeter if triangle ABC= AQ+AQ (Because AQ=AR)
Perimeter if triangle ABC=2AQ
HENCE---- aq=1/2(perimetre of triangle abc)
sudhanshu4984:
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