Please help. I found a solution to this problem on yahoo answers but I do not understand the answer. I would use the laws of cosine but I have to be able to answer this without a calculator
If AB = 14, BC = 12,
What is BD?
So far since I know that angle ABC is a right triangle that line AC is equal to sqrt(52). Then I'd use the angle of CAD to get CD, finally with the Pythagorean theorem I get line DB. But this required me to use a calculator :[
Best Answer
From $\triangle ABC, \dfrac{AB}{BC}=\sin\angle CAB,$
$\triangle BCD,\dfrac{BC}{BD}=\sin\angle BCD$
But $\angle CAB=\angle BCD$