Carcass wrote:
Attachment:
#GREpracticequestion Which is greater n^2 or p^2 + m^2.jpg
Quantity A |
Quantity B |
\(n^2\) |
\(p^2 + m^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
TRICKY QUESTION!!! (deserves a much higher difficulty rating, IMO)
Since the angles in a triangle must add to 180°, we can write: 5x + 3x + x = 180
Simplify: 9x = 180
Solve: x = 180/9 = 20
So, 3x = 3(20) = 60
And 5x = 5(20) = 100
So, our diagram looks like this:

At this point, I want you to consider a HYPOTHETICAL situation.
IF it were the case that the TOP angle were
90°...

...then we'd have a RIGHT triangle, in which case the Pythagorean Theorem would tell us that p² + m² = n²
In other words, if the top angle were
90°, then Quantities A and B WOULD be EQUAL
KEY POINT: In order to make the top angle
100°, we must OPEN UP sides p and m by 10°,
which will INCREASE the length of side nSo, when the top angle is
100°, we can conclude that p² + m² < n²
Answer: A
Cheers,
Brent
suppose P and M are increased by 5degree equivalents each. how can we be sure?