In triangleABC,angleBAC=90°and angleACB=30°.Then show that,AB=1/2BC.?

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Answer 1 · 2018-06-24T08:19:30

See below.

enter image source here

From Diagram.

#sin(C)="opposite"/"hypotenuse"=(AB)/(BC)#

#sin(C)=sin(30^@)=1/2#

#:.#

#sin(30^@)=(AB)/(BC)=1/2#

#(AB)/(BC)=1/2#

#2AB=BC#

#color(blue)(AB=1/2BC#