SOLUTION: Triangle PQR has vertices P(asqrt3,bsqrt3), Q(a/2sqrt3,3bsqrt3), R(0,5bsqrt3). Prove triangle PQR is isosceles.

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Question 135708: Triangle PQR has vertices P(asqrt3,bsqrt3), Q(a/2sqrt3,3bsqrt3), R(0,5bsqrt3).
Prove triangle PQR is isosceles.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of each of the sides of the triangle using the distance formula.

d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29

If the lengths of any two sides are equal, then the triangle is isoceles by definition. Strictly, you should show that the third side is not equal to the other two.