SAT Math Question. (Area of a triangle with constraints)

Test Preparation SAT Preparation
1

<p>Triangle ABC is to be drawn so that the length of side AC is greater than 3 and less than 5. If the length of the perpendicular drawn from point B to side AC is less than 8, which of the following CANNOT be the area of the triangle?</p>

<pre><code>A 8
B 10
C 16
D 18
E 36
</code></pre>

<p>I'm having a hard time on this question. Can someone figure it out and explain it?
Thank you. :)</p>

2

<p>its E. Its because the maximum lengths of the side are 4.99999999=5 and 7.999999999=8</p>

<p>(1/2)(5)(8)=20, which is the max area. 36 is more than that.</p>

3

<p>Ehh. Sometimes I just feel so stupid…</p>

<p>Thank you McAwesome. :D</p>