Hi Greg,

in this question if we choose n=10, m=9 and p=8, n^2< p^2+q^2. Shouldn’t the answer be D in that case.

Find x first

x = 20

so angles would be 100, 60, 20

which tells us n>m>p

even now we can conclude that the answer is D

if we apply 3,4,5 A=B

but if we apply 7,10,12 B>A

Thus the answer is D

@Leaderboard what is the right answer for this question

You stopped too early. Hint: try to relate with right-angled triangles - draw a diagram.

yeah! I understand what you’re trying to say and with that the answer would be A. But through the numbers it doesn’t work.

Correct - this one requires reasoning on the sides as well.

But the sides are well reasoned here. The largest one corresponds to the biggest angle and so do the others, yet the answer does not match when working through the numbers.

The reason is that you’re actually choosing invalid numbers. The sides must be in a certain ratio - you can formally find the ratio using the sine rule (which is out of scope for the GRE). Here you’re being asked to reason on what the ratio could be.

okay! now I get it and this is a good knowledge for selecting numbers for other triangle questions also which are not based on right triangles Thanks!

p^2+m^2<n^2

Because the triangle is obtuse

yeah! that’s what we were trying to prove by choosing numbers.