3. 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 24A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
the correct answer is D i and get II 20 but not III 5
sorry repost i put it in the wrong section earlier.
Another way to think of it: Let be the angle between the two sides of lengths 8 and 5. The area of the triangle is
Since ranges between 0 and 1 (for ), the area can range from 0 to 20. The correct answer is D.
Note: You don't need trig on the SAT, but you can definitely use it.