Question

(b) Locate the point E on BC that lies on the angle bisector of ZCAB. How far is point E from

point B? Show all your work.

Answer 1

The procedure is proved wrong using Arc tan to find angle BAC and angle BAD

Then verify if angle CAB = 2 * angle DAB

How to prove it wrong

Using trigonometry tan, we have that

Triangle drawing before bisection:

tan (CAB) = opposite / adjacent

tan (CAB) = 4/3

angle CAB = arctan (4/3)

angle CAB = 53.13

Triangle drawing after bisection:

tan (DAB) = opposite / adjacent

tan (DAB) = 2/3

angle DAB = arctan (2/3)

angle DAB = 33.69

comparing both angles shows that angle CAB is not twice angle DAB