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We are given the lengths of the 3 altitudes of a trgle ABC
we have to find any one side
Any Hints???
Dear Palash Chordia,
Ans:- The area of a triangle is Δ and let the altitudes are p,q,s and the sides are a,b,c
Hence 1/2 a p=1/2 b q =1/2 r c=Δ
or ap=bq=cr=Δ=√s(s-a)(s-b)(s-c)
where s=(a+b+c)/2
From the above equations any one side may be determined solvig some linear or quadratic equations.
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All the best Palash Chordia !!!
Regards,
Askiitians ExpertsSoumyajit Das IIT Kharagpur
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