Math, asked by sudhanshu4984, 1 year ago

prove that aq=1/2(perimetre of triangleabc)​

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Answered by Amarshyam
1

Answer:

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)​    


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Answered by sheil2
1

Answer:

Step-by-step explanation:

Hope it helps

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