Can an equilateral triangle have an obtuse angle? - MywallpapersMobi

# Can an equilateral triangle have an obtuse angle?

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Mathematics

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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!

?

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· just now

• Obtuse Equilateral Triangle
Source(s):
https://shrink.im/a9OAY

jest
· 2 years ago

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• 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

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· just now

• Equilateral Acute Triangle
Source(s):
https://shrinks.im/a8I5U

dehl
· 2 years ago

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• 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

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• 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

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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 wont be equal.
Source(s):
Took Math A

James L

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· just now

• Impossible.

to be an equilateral triangle, each of the 3 angles must be 60 degrees.

and 60 degrees is not an obtuse angle

Rec

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RE:
is it possible to draw an obtuse equilateral triangle. explain.?

Source(s):
draw obtuse equilateral triangle explain: https://shortly.im/qwuwx

Hiroko
· 3 years ago

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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

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