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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Look at the diagram u can see by cosine law CX²=BC²+BX^2-2(BC)(BX)cos(60) CX²=BC²+AB^2-(BC)(AB)...(1) similarly BY²=BC²+CY²-2(BC)(CY)cos(60) BY²=BC²+AC²-(BC)(AC) as AB=AC BY²=BC²+AB^2-(BC)(AB)..(2) (1)=(2) therefore BY=CY

In eqilateral triangle all the sides are equal . measure angle ABX=60 thus ab=bx=ax=60 thus it is an eqilateral triangle and as per given data abx=acy thus cx =by