Math Question #15 May 2011 SAT Help?

<p><a href="http://puu.sh/3Bjoq.jpg%5B/url%5D"&gt;http://puu.sh/3Bjoq.jpg&lt;/a&gt;&lt;/p>

<p>Well I know the answer is C but Im not definite on the reason. Is the reason because the two shorter sides have to be smaller than the larger side in the triangle to be a right triangle? Is that the case or the reason ?</p>

<p>I would have solved this problem by using the Pythagorean theorem.</p>

<p>a^2 + b^2 = c^2</p>

<p>We are given c, so I would plug in each of the answer choices until I found the one that does not satisfy the Pythagorean theorem.</p>

<p>C is the correct answer because (sqrt(6))^2 + (sqrt(13))^2 is not equal to (sqrt(15))^2.</p>

<p>A^2 + B^2 = C^2</p>

<p>6+13= 19 not 15 like it should.</p>

<p>Wait so for it to be a right triangle, the shorter sides have to equal the larger side ?</p>

<p>No-</p>

<p>Square one of the short sides. Square the other short side. Add them up. That must equal the square of the long side.</p>