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It's not possible at all to contain a right or obtuse angle in an equilateral triangle.

Here's the facts:

  • a triangle measures 180 degrees
  • all the sides must add up to 180
  • if it doesn't, you don't have a triangle
  • it is 3 sided
  • an acute angle can be ranging from 1-90 degrees
  • a right angle can only be 90 degrees
  • an obtuse angle has anywhere from 91-179 degrees
  • a straight angle is 180 degrees and is also called a line. Combining those lines forms angles, which forms figures, so you can't get away with that
  1. There's 3 sides to a triangle, right? Yes/No
  2. If there's 3 angles, then there's got to be 3 sides, am I right? Yes/No
  3. And there's 180 degrees in a triangle, correct? Yes/No

If you answered "Yes" to any of these questions, give yourself a pat on the back. Now think about this one:

3x=180

The coefficient stands for the number of angles in a triangle (keep in mind that this equation's for equilateral/equiangular triangles only!). Now solve it.

3x=180

3

x= 180

3

or

x= 60 (acute angle)

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Q: Why is it not possible to draw a right equilateral triangle or an obtuse equilateral triangle?
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Related questions

Which triangle has no obtuse sides?

A right or equilateral triangle.


Does an obtuse triangle have to be scalene?

No. An obtuse triangle can be isosceles. It just can't be a right or equilateral triangle.


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