Triangles ABC and ABD share side AB.
Triangle ABC has area Q and triangle ABD has area R. If AD is longer than AC and BD is longer than BC, which of the following could be true?
I R> Q
III R < Q
I chose “I” only but the answer was E (all of them could be.) How can the second and third condition be true?
Thanks in advance!
Above is an example of R < Q. If you imagine dragging D downward, eventually the area of triangle ABD will equal the area of triangle ABC, and then after that it will be bigger.