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Alevel maths question

Could someone help with this qs please, I’ve looked at the solutions and understand that I have to half the triangle, but I don’t understand how to find the length of EF which is root3r/2 using pythag
Original post by Jessica_rica
Could someone help with this qs please, I’ve looked at the solutions and understand that I have to half the triangle, but I don’t understand how to find the length of EF which is root3r/2 using pythag

This is the qs
Original post by Jessica_rica
This is the qs


Original post by RDKGames

Thank you!! Also how is FB = r when BC=r ?
Original post by Jessica_rica
Thank you!! Also how is FB = r when BC=r ?


Because the arc from C through F up to A is part of a circle which is centered at B.

F is just another point on this circle, just like C and A are, so their distances from B are the same.

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