show that points P(a,a) Q(-a,-a) R (-aRoot3,aroot 3) form an equilateral triangle
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Find the midpoint of P and Q and name it S.
Find the distance between 'S and R' and 'P and Q'.
Now compare the two distances and prove that SR=√3PQ.
As the length of the median of a equilateral triangle will only be root third of its side, the sum is proved.
Find the distance between 'S and R' and 'P and Q'.
Now compare the two distances and prove that SR=√3PQ.
As the length of the median of a equilateral triangle will only be root third of its side, the sum is proved.
slgowda:
can u prove it by numbers bro please
that was √3/2*PQ
And I think I was too tedious when I answered the question as you can prove it just by using distance formula on the three sides
so anyway SR=√3a and PQ=2√2a
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