Analytical Geometry
how to prove appolonius theoram using geometry??
1 Answer
Askiitians Expert Soumyajit IIT-Kharagpur
Dear Anshu Dhamiwal,
Ans:- Consider the given figure:-
In the above fig. θ'=∏-θ
b²=m²+d²-2md cosθ..................(1)
c²=m²+d²-2md cosθ'
=m²+d²+2md cosθ (as cos(∏-A)= - cosA) ..................(2)
adding 1 && 2 we get
b²+c²=m²+d² (proved)
(WE HAVE TO USE A LITTLE AMOUNT OF TRIGO TO PROVE IT)
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Soumyajit Das IIT Kharagpur
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