If a triangle has sides 8, 10, and z, which of the following cannot be the area of the triangle?
A) 3
B) 6
C) 12
D) 24
E) 46
OA: E
A) 3
B) 6
C) 12
D) 24
E) 46
OA: E
Hi manik11,
When you have two sides of a triangle, the LARGEST possible area will occur when those two sides form the base and height of a right triangle. Any triangle OTHER than a right triangle that is formed with those 2 sides will have a SMALLER area.
Here, with an 8 and a 10, we COULD have an area of....
Area = (1/2)(8)(10) = 40
AND any area less than 40. So there's only one option here that CANNOT be the area of this triangle...
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
