<p>imgur:</a> the simple image sharer</p>
<p>The triangle is a right triangle, and the point (4,10) is further up and to the right of the triangle. Touches the origin. Which is a possible set of sides of the triangle?</p>
<p>a. 2, 5, rad (29)
b. 2, 5, 7
c. 3, 3, 3 rad(2)
d. 3, 4, 5
e. 4, 5, rad (41)</p>
<p>B is impossible because that can't be any triangle but what am I to do?</p>
<p>pretty sure its A. find the slope through 4,10 and the origin which 5/2. Vertical side length is five, horizontal side length is 2, and hypotenuse is root 29 using Pythagorean thm. Hope that helps.</p>
<p>When facing a tough math problems, try to identify the subject(s) it is testing.</p>
<p>In this case, you are being tested on Phytagorean theorem, and similar triangles.
All right triangles that have a hypotenuse along that line will be similar due to AAA.</p>
<p>If we consider the biggest triangle possible, you would have a triangle with sides:</p>
<p>4, 10, 2 rad(29).</p>
<p>The only set of sides that is similar to that is answer choice A.</p>
<p>That’s assuming the legs of the triangle are parallel with the axes. C,D,E are also right triangles, and they can be drawn in such a way that the hypotenuse lies on the line y = (5/2)x. If the legs are parallel to the axes, the answer is A.</p>