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# An obtuse triangle is a triangle with one angle greater than 90º. What

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
An obtuse triangle is a triangle with one angle greater than 90º. What  [#permalink]

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14 Sep 2018, 01:47
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74% (02:04) correct 26% (01:54) wrong based on 20 sessions

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An obtuse triangle is a triangle with one angle greater than 90º. What is the measure of side ZX of obtuse triangle XYZ, if angle Z is obtuse?

(1) Angle X is at point (1 , 5) and angle Y is at (3 , 2)
(2) The area of triangle XYZ is 2.5

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Re: An obtuse triangle is a triangle with one angle greater than 90º. What  [#permalink]

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15 Sep 2018, 06:14
Bunuel wrote:
An obtuse triangle is a triangle with one angle greater than 90º. What is the measure of side ZX of obtuse triangle XYZ, if angle Z is obtuse?

(1) Angle X is at point (1 , 5) and angle Y is at (3 , 2)
(2) The area of triangle XYZ is 2.5

Question : What is the measure of side ZX of obtuse triangle XYZ, if angle Z is obtuse?

Statement 1: Angle X is at point (1 , 5) and angle Y is at (3 , 2)
With two vertex of triangle, the triangle can not be ascertained hence
NOT SUFFICIENT

Statement 2: The area of triangle XYZ is 2.5
Infinite many triangle may have the same area hence
NOT SUFFICIENT

Combining the two statements
Even after combining the two statements
we have one side length of side XY and area of triangle which gives us the height but for same height many triangles can be formed as per given condition hence
NOT SUFFICIENT

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Re: An obtuse triangle is a triangle with one angle greater than 90º. What   [#permalink] 15 Sep 2018, 06:14
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