If two sides of a triangle are 12 and 2, which of the following could be the area of triangle?
1. 35
2. 48
3. 56	Choose the correct choice from the following answers: A) a) 1 only B) b) 1 and 2 only C) c) 1 and 3 only D) d) 2 and 3 only E) e) 1, 2 and 3 only
when two sides of a triangle are known , the maximum area occurs when the angle between those two sides is 90.   lets say base = 12 , height =8 (angle = 90)   maximum area = (1/2)*12*8= 
<gadget id="calculator">(1/2)*12*8</gadget>
<output>48</output>
48 ( this is the same maximum area even when base is 8 and height is 12).   if we fix the base and keep lowering the angle, it will result in a lower height . hence the resulting area will always be &lt; 48.   C,D and E are ruled out.   1, 2 and 3 are possible areas as their areas are less than 48.   Hence the answer is e) 1, 2 and 3 only.
<result>E</result>
If two sides of a triangle are 12 and 2, which of the following could be the area of triangle?
1. 35
2. 48
3. 56