SOLUTION: An isosceles triangle has sides x, y, and z. If x>y, which of the following must be true? (A) y = z (B) x>z (C) y<z (D) y ≤ z (E) xz

Algebra ->  Triangles -> SOLUTION: An isosceles triangle has sides x, y, and z. If x>y, which of the following must be true? (A) y = z (B) x>z (C) y<z (D) y ≤ z (E) xz      Log On


   



Question 1202591: An isosceles triangle has sides x, y, and z. If x>y, which of the following must be true?
(A) y = z
(B) x>z
(C) y (D) y ≤ z
(E) xz

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Probably the easiest way to figure this problem out is to choose some actual numbers.

So suppose x = 3 and y = 2; then the condition x>y is satisfied. Then there are two possible cases:

(x,y,z) = (3,2,2)
(x,y,z) = (3,2,3)

Answer (E) makes no sense; perhaps it was not shown correctly in your post.

Of the others, using the numbers we have chosen, none of (A), (B), or (C) is true, but (D) is.

ANSWER: (D)