One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
I. 24
II. 20
III. 5
Choose the correct choice from the following answers.
A) I only	B) II only	C) III only	D) II and III only	E) I, II and II
The triangle will have a maximum area when it is a right angled triangle   The largest triangle will be formed when 8 and 5 are the base and height of triangle .   Area = 1/2 * 8 * 5= 
<gadget id="calculator">1/2 * 8 * 5</gadget>
<output>20</output>
20   There is no lower limit on the area of any triangle whose only 2 sides are known . Area&gt; 0   So we can also have triangle with area= 5   Suppose we want to take 8 as the hypotenuse in the right angled triangle , then one of the other sides(base or height) will be less than 8 .   Hence , product will be lesser than 20 .   Answer II and III only
<result>D</result>
One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
I. 24
II. 20
III. 5