Problem: The sides of triangle BAC are in the ratio . BD is the angle-bisector drawn to the shortest side , dividing it into segments and . If the length of is , then the length of the longer segment of is:
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Since the bisector of an angle of a triangle divides the opposite side into segments proportional to the sides including the given angle, taken in the proper order, we have The longer segment is .