Bunuel wrote:
Which one of the following is true regarding the triangle shown in figure?
(A) x > y > z
(B) x < y < z
(C) x = y = z
(D) \(2x = \frac{3y}{2} = z\)
(E) \(\frac{x}{2} = \frac{2y}{3} = z\)
We see that the measures of the interior angles of the triangle are angle A = x, angle B = z and angle C = y.
We see that since angle A is opposite the longest side, it’s the largest angle; since angle C is opposite the second longest side, it's the second largest angle; and, since angle B is opposite the shortest side, it’s the smallest angle.
Thus, x > y > z.
Answer: A
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