A triangle has corners at points A, B, and C. Side AB has a length of #15 #. The distance between the intersection of point A's angle bisector with side BC and point B is #12 #. If side AC has a length of #36 #, what is the length of side BC?
2 Answers
40.8
Explanation:
I may have misinterpreted the question, but using the wonderful power of MS Paint:
Let D be the point at which the bisector of A meets BC.
Let
Let
Let
(I know I drew it wrong on the diagram, but)
from the sine rule in
from
From the graph
But
Length of side BC = 40.8
Explanation:
Let the point where the angle bisector intersects with
side BC be D
#"using the "color(blue)"angle bisector theorem"#