Math Help on SAT

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Discus: SAT/ACT Tests and Test Preparation: October 2003 Archive: Math Help on SAT
 By Nakattacks31 (Nakattacks31) on Monday, October 27, 2003 - 11:58 pm: Edit

the question i need help with is as follows..i would appreciate an explanation as well

25. One side of a triangle has length 6 and a second side has length 7. Whcih of the following could be the area of this triangle?
I. 13
II. 21
III.24

a) 1 only
b) 2 only
c) 3 only
d) 1 and 2 only
e) 1,2,and 3

thanks

 By Nakattacks31 (Nakattacks31) on Tuesday, October 28, 2003 - 12:38 am: Edit

bump

 By Nakattacks31 (Nakattacks31) on Tuesday, October 28, 2003 - 12:39 am: Edit

to the top sorry

 By Xiggi (Xiggi) on Tuesday, October 28, 2003 - 01:32 am: Edit

The answer is d.

The largest area possible would be a right triangle with base 7 and height 6 - or the opposite. That means that the largest area would 7*6/2 or 42/2 or 21.

A smaller triangle is obviously possible if it is not a right triangle, so 13 is a possible answer.

The answer III is not possible because it exceeds 21, which is the largest area.