SOLUTION: Use coordinate geometry to prove that triangle PQR is isosceles... ^ | |---------Q (a,b) | | | | | P(0,0)----------- -R(2a,0) ----------- ----------- ------>

Question 936288: Use coordinate geometry to prove that triangle PQR is isosceles...
^
|
|---------Q (a,b)
|
|
|
|
| P(0,0)-------------R(2a,0)
------------------------------>
Answer by hovuquocan1997(83) (Show Source): You can put this solution on YOUR website!
We have the distance formula is
So first, we find the distance between P and Q

Then, we find the distance between Q and R

(because
We can see that the two distance are the same, so we can conclude that PQ=QR
A triangle that has two equal sides is isosceles.
:D
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