Math Question for Monday, May 21st, 2012
In the figure below,
and
is 10 units long. What is the area, in square inches, of
ABC ?

F. 12.5
G. 25
H. 
J. 50
K. Cannot be determined from the given information
Incorrect
If AD = 2.5, then the area is
(10)(2.5) or 12.5, but the length of
is not given as 2.5.
Incorrect
If AD = 5, then the area is
(10)(5) or 25, but the length of
is not given as 5.
Incorrect
If AD = 10, then the area is
(10)(10) or 50, but the length of
is not given as 10.
Correct!
The correct answer is K.

It is impossible to find the area of the triangle without more information, because there are infinitely many isosceles triangles having a base that is 10 units long.