Does AB=AC

Question

There is a triangle like this ∆ with the up being .A. down left .B. and down right .C.

 

Then from .A. to the middle of BC there is a straight line (.D.). Creating triangles ABD,ADC,(ABC).

 

A=24°

 

Does    AB=AC? ( With explanation please).

 

Thanks.

 

Answer 1

NO.

 

You said:

"from .A. to the middle of BC there is a straight line (.D.)....."

 

 By middle, do you mean that line segment AD BISECTS BC ?

 That's what is sounds like. I hope so, because we need it!

 

BUT unfortunately, that alone is not enough. We also need to make sure that it 

also meets line AD intersects BC at RIGHT ANGLES as well,

making it a PERPENDICULAR BISECTOR. If that is the case, then triangles ADC and ADB 

are congruent right triangles and THEN, YES AB = AC....

 

But you didn't.

So it's not.