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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
 

Grade:9

1 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
5 years ago
Look at the figure attached
512-2303_2016-01-28-210250.jpg
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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