Prove that any triangle that has two equal angle bisectors is actually isosceles.

How can I prove this.I have attempted with the Sine Rule for this purpose.[For help you may visit http://www.mathsisfun.com/algebra/trig-sine-law.html]

Question

Shivam Dimri · Answer

well if angle bisectors are equal then twice those bisectors will alos be equal, this solves the problem two eaul angles gives a isosceles traingle!!!

Adhiraj Mandal · Answer

All right,twice the angle bisectors are equal to each other,but how does that solve the problem?Please explain it.

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Prove that any triangle that has two equal angle bisectors is actually isosceles. How can I prove this.I have attempted with the Sine Rule for this purpose.[For help you may visit http://www.mathsisfun.com/algebra/trig-sine-law.html]

Prove that any triangle that has two equal angle bisectors is actually isosceles.

How can I prove this.I have attempted with the Sine Rule for this purpose.[For help you may visit http://www.mathsisfun.com/algebra/trig-sine-law.html]

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Prove that any triangle that has two equal angle bisectors is actually isosceles. How can I prove this.I have attempted with the Sine Rule for this purpose.[For help you may visit http://www.mathsisfun.com/algebra/trig-sine-law.html]

Prove that any triangle that has two equal angle bisectors is actually isosceles. How can I prove this.I have attempted with the Sine Rule for this purpose.[For help you may visit http://www.mathsisfun.com/algebra/trig-sine-law.html]

2 Answers

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Prove that any triangle that has two equal angle bisectors is actually isosceles.

How can I prove this.I have attempted with the Sine Rule for this purpose.[For help you may visit http://www.mathsisfun.com/algebra/trig-sine-law.html]