Prove x-coordinate of circumcenter of triangle ABC is ((x1 sin⁡2A+x2 sin⁡2B+x3 sin⁡2C)/(sin⁡2A+sin⁡2B+sin⁡2C )

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Finding the coordinates of cercumcenter of triangle ABC in terms of sine of vertexes of triangle In the given figure I am not able to proceed further to arrive at the proof. Please do help me to solve this.

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Here is the correct solution; https://i.stack.imgur.com/0Iq50.png

GS Negi