Question

D is mid point of side BC. if angle B= angle C , prove that AD bisects angle A​

Answer 1

It is given that

angle b = angle c

d is the mid point

Therefore in triangle ABD and triangle ACD

bd=dc (given)

<b= < c ( given)

ad = ad ( common )

triangle ABD congruent to triangle ACD (ASA CRITERIA)

Angle BAD = Angle CAD

Therefore AD bisects angle A

Answer 2

Answer:

Note: This type of question is solved in a very limited method. The above method is a very good method to solve such questions in which there will be less chances of doubt and errors. Here we have used the area formula for triangles based on Heron’s method.