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Mathematics 21 Online
OpenStudy (goformit100):

Prove that any triangle having two equal internal angle bisectors (each measured from a vertex to the opposite side) is isosceles.

OpenStudy (goformit100):

@Jas9420

OpenStudy (goformit100):

@hartnn

OpenStudy (goformit100):

@gorv HELP

OpenStudy (gorv):

|dw:1368132324779:dw|

OpenStudy (gorv):

cd=db given

OpenStudy (gorv):

in cdb two sides are equal so angle 1= angle 2

OpenStudy (gorv):

angle acd= angle 1 --------> 1 as cd bisects angle acb similarly angle 2=angle abd ----------> 2 we proved angle 1= angle 2

OpenStudy (gorv):

angle acd=angle 1= angle 2=angle abd

OpenStudy (gorv):

acd=abd 1+acd=abd+1 as angle 1 = angle 2 so replace 1 by 2 on right side 1+acd=2+abd acb=abc so 2 angles are equal so triangle is isosceles

OpenStudy (gorv):

@goformit100

OpenStudy (gorv):

hope u got it

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