Question

prove that in an isosceles triangle ABC,in which AB=AC and AD is the altitude, AD is also:median and bisector of angle A​

Answer 1

Answer:

draw a traingle ABC and AD is the bisecter.

AB=AC GIVEN

AD=AD COMMON

ANGLE B= ANGLE C ANGLEof oppo.. sides equal

so, its proofed by SAS.

I HOPE HELP YOU

Answer 2

Answer:

in triangle ABD and triangle ACD

AB =AC. given

angle ADB =angle ADC AD is the perpendicular

AD = AD. common

triangle ABD congruent to triangle ACDby RHS criterion

therefore,

BD =CD. by. cpct

which means ad is the median since it divides bc into 2 halves

angle BAD = angle CAD. by cpct

which means AD is the bisector of angle A