Problem:
In triangle , and . If sides and are doubled while remains the same, then:
Answer Choices:
A. the area is doubled
B. the altitude is doubled
C. the area is four times the original area.
D. the median is unchanged
E. the area of the triangle is .
Solution:
In the new triangle , that is, lies on the line . Consequently, the altitude from is zero. Therefore, the area of the triangle is zero.
Answer: .