In triangle ABC ,suppose y=x is the equation of the angle bisector B and the equation of the side AC is 2x-y= 2.If 2AB =BC

Question

In a  ABC suppose y=x is the equation of the bisector of the angle B and the equation of the side AC is 2x-y=2. If 2AB= BC and the point A and B are respectively (4,6) and (Alpha, beta) , then alpha+ 2 beta is equal to

A- 42

B- 39

C- 48

D- 45

Answer 1

Answer: (1) 42

\(\mathrm{AD}: \mathrm{DC}=1: 2\)

\(\frac{4-\alpha}{6-\alpha}=\frac{10}{8}\)

\(\alpha=\beta\)

\(\alpha=14\text{ and }\beta=14\)