how to prove that the bisectors of the base angles of an isosceles triangles are equal – maths
how to prove that the bisectors of the base angles of an isosceles triangles are equal – maths
preetahm , 9 Years ago
Grade 9
Analytical Geometry> how to prove that the bisectors of the ba...
1 AnswersRiddhish Bhalodia
Last Activity: 9 Years ago
Look at the figure attached
Here ABC is an isocelous triangle with angle A= angle B
CM and BN are the angle bisectors
So now we observe tri(BMC) and tri(BNC)
1) BC = BC
2) ang(MBC) = ang(NCB)
3) ang(NBC) = ang(MCB)
so by ASA congruency condition the triangles are congruent
and hence
BN = CM
Proved!
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