Question

In the given construction of triangle ABC in which the base BC, base angle ABC, and the difference of the sides AB and AC are given, line segment BD = ________ .

• A.
  AB + AC
• B.
  AB - AC
• C.
  AD
• D.
  AC - AB

Answer 1

The correct option is D

AC - AB
In the given construction of triangle ABC, the base BC, the base angle ABC, and the difference of the sides AB and AC are given.

It is important to note that the difference of the sides is AC - AB and not AB - AC, since point D lies below BC. Hence, BD = AC - AB.