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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???

We are given the lengths of the 3 altitudes of a trgle ABC


we have to find any one side


Any Hints???

Grade:12

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

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 Experts
Soumyajit Das IIT Kharagpur

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