<p>The triangle is obtuse. You can kind of draw this out in front of you. Start with point P, then draw a line segment going straight down to Q. From here, you could either draw a line to R from Q that is angled upward, horizontal, or downward. The only possible choice is downward, because, as the above poster mentioned, a 3,4,5 triangle would be right. A 3,4,<5 triangle would be acute. This is a 3,4,6 (>5), so it has to be obtuse. Therefore, angle PQR must be greater than 90, hence E.</p>
<p>At least tell me you drew the triangle out. If you didn’t draw it out, then that is a bad strategy. Always draw out these simple shapes. Generally, the answer becomes self-evident and, even if not, you don’t have to juggle numbers, mental images, and questions all in one.</p>