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# Is it possible to make a triangel with three right angels?

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9spaceking
 Voting Style: Open Point System: 7 Point Started: 4/15/2014 Category: Science Updated: 7 years ago Status: Post Voting Period Viewed: 2,853 times Debate No: 52576
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 Pro First day is for accepting, second is for proving.Report this Argument Con I accept the challenge. I define triangle as "a closed plane figure having three sides and three And "Right angles" as angles with the measure of 90 degrees.Onto you pro. Report this Argument Pro A triangle would be defined as a shape with three sides. so why not a three right angels. To do this just place a triangle on a sphere. http://www.math.cornell.edu...Report this Argument Con Three STRAIGHT sides, to be more accurate. A sphere has no straight sides, all sides are curved, so that is not a triangle. Furthermore, in a triangle, all the (interior) angles always add up to 180. Always. Because this "triangle's" interior angles add up to 270, it in no way can be a triangle by the proven properties of a triangle. Source: http://www.mathsisfun.com... Vote con.Report this Argument
5 comments have been posted on this debate. Showing 1 through 5 records.
Posted by Diqiucun_Cunmin 7 years ago
This reminds me of the one time. My discipline mistress, who loves to tell stories and talk about maths when she disciplines us, asked all the students in our form, 'what is the angle sum of triangles?'

Nobody volunteered, so she picked a boy in the first row to come up to the stage. '180 degrees,' he answered.

She smiled. 'No. In plane geometry, triangles' angles add up to 180 degrees. However, if your triangle is drawn on the sphere, the angles would be completely different.'

The moral of the story? 'Don't assume everything will be all right'.
Posted by RossM 7 years ago
It is possible to create a triangle with 3 right angles. On a normal plane it is impossible, but in spherical geometry it isn't. Do your research people!
Posted by Zerrok 7 years ago
yes you can make a triangle with three right angles. you take a ruler (that has 90 degree corners) and use three of the four corners to make the triangle: win. The definitions need to be a bit more clear. :)
Posted by E_Pluribus_Unum 7 years ago
The ambiguity of the parameters seems to limit this debate. Effectively communicated your definitions, ideas, and boundaries of what is being discussed is essential to any truly stimulating discussion.

Here is my input: you are both correct, in a way. The Contender is using Euclidean geometry in a Euclidean plane, which is the most commonly used form of mathematics in this regard. However, there are alternatives. There is, for example, the existence of hyperbolic planes or spheres in hyperbolic and spherical geometry respectively. In both of these forms of geometry, a triangle can be made that is over 180 degrees.
Posted by AthenaMusic10 7 years ago
I know why. because in order for a shape to be a triangle, not only does it have to be a closed figure with 3 vertices, it's angles must also equal 180 degrees. If you were to have 3 right angles with 90 degrees each, it would equal 270 degrees, thus not making it a triangle. This is simple geometry. So the answer is no, you cannot make a triangle with 3 right angles.
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