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 0.
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.