Thread: what is your opinion in that problem

here is a picture for a problem my master asked me to solve it in the attachment
the question is prove that
here is my proof :
Construction : draw MD perpendicular to AB chord
Proof :
since -->MD perpendicular to AB
so -->MD bisects <M
so -->Sin <BMD = opposite / hypotenuse = BD / r
since --><M and <C two angles subtended by same arc
so --><C = 0.5 * <M = <BMD
so -->sin C = BD / r
since -->BD = 0.5 * side c
so -->sin C = (0.5*c)/r
so -->r = (0.5*c)/sin C (multiplication the equation by 2)
so -->2r = c / sin C and that is required to prove

what is your opinion about this solution ???

Originally Posted by mido22

here is a picture for a problem my master asked me to solve it in the attachment
the question is prove that ***
here is my proof :
Construction : draw MD perpendicular to AB chord
Proof :
since -->MD perpendicular to AB
so -->MD bisects <M
so -->Sin <BMD = opposite / hypotenuse = BD / r
since --><M and <C two angles subtended by same arc
so --><C = 0.5 * <M = <BMD
so -->sin C = BD / r
since -->BD = 0.5 * side c
so -->sin C = (0.5*c)/r
so -->r = (0.5*c)/sin C (multiplication the equation by 2)
so -->2r = c / sin C and that is required to prove

what is your opinion about this solution ???

I agree with your proof that ... but what about *** ? is that a typo?

no sry real question is 2*r not ^2