Question

In triangle ABC , AD is the bisector of angle A, If AD bisects Bc, Prove that AB = AC​

Answer 1

Answer:

ASA CRITERIA

Step-by-step explanation:

now there are two triangles which are triangle adb and triangle adc

we can prove that the two triangles are equal/congruent through ASA criteria

AD = AD                   [ common line]

angle DAB = angle DAC          [ AD is the angle bisector ]

the base angles are also equal that is 90 degree each

hence,proved by cpct [ corresponding parts of congruent traingle are equal]

AB=AC

Answer 2

Answer:

If D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then, (a) BD = ... a triangle, the side opposite to the greater angle is longer. ... △ABC is a right triangle such that AB=AC and bisector of angle C intersects the side AB at D.Prove that AC+AD = BC.