show that the points p( a, a ) Q( -a,-a) and R( -a root3,a root 3) form an equilateral triangle
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By distance formula
PQ=√[(4a square +4a square)]
=2√2 a
Similar QR=2√2 a
And RP. =2√2 a
Then
PQ=QR=RP=2√2 a
Triangle PQR are a equilateral triangle
Step-by-step explanation:
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