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Is it possible to draw an obtuse equilateral triangle. explain.?
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Hey there!
No. An equilateral triangle is always acute. The reason is the equilateral triangle consists of congruent sides and congruent angles.
Let x= the measure of the first angle.
By the Triangle Sum Theorem:
x+x+x=180 –>
3x=180 –>
x=60°
That means every angle in the equilateral triangle measures 60°. This violates the obtuse triangle, as one of the angles measures more than 90°.
Therefore, there is no such thing as an obtuse equilateral triangle.
Hope it helps!
?
· 1 decade ago
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- Obtuse Equilateral TriangleSource(s):
https://shrink.im/a9OAYjest
· 2 years ago0Thumbs up
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· just now
- An obtuse triangle has one angle that is greater than 90°.
An equilateral triangle has 3 equal angles all 60°. Therefore by definition you cannot draw an obtuse equilateral triangle. An equilateral triangle will always be acute.
Puzzling
· 1 decade ago3Thumbs up
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· just now
- Equilateral Acute TriangleSource(s):
https://shrinks.im/a8I5Udehl
· 2 years ago0Thumbs up
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· just now
- No it is not. There are 180 degrees total in a triangle. If it is an equilateral triangle, then each angle is 180/3=60 degrees. An obtuse angle must be greater than 90 degrees therefore it is not possible.
Meags
· 1 decade ago3Thumbs up
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· just now
- No, an equilateral triangle will be equiangular, and since the angles of a triangle will add up to 180°, each angle of an equilateral triangle will be 180°/3 = 60°, making it an acute triangle, not obtuse.
Pascal
· 1 decade ago0Thumbs up
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- No, I is not possible. An equilateral triangle will always have the same number of degrees which is 60. If you have even 1 obtuse angle then that means all the sides of the triangle wont be equal.Source(s):
Took Math AJames L
· 1 decade ago1Thumbs up
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- Impossible.
to be an equilateral triangle, each of the 3 angles must be 60 degrees.
and 60 degrees is not an obtuse angle
Rec
· 1 decade ago3Thumbs up
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- This Site Might Help You.
RE:
is it possible to draw an obtuse equilateral triangle. explain.?Source(s):
draw obtuse equilateral triangle explain: https://shortly.im/qwuwxHiroko
· 3 years ago0Thumbs up
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· just now
- No. An equilateral triangle will always have three 60 degree angles, so no angle can have a measure greater than 90 degrees.
PammingSodom
· 1 decade ago3Thumbs up
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· just now
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