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Could a obtuse triangle ever be an equilateral triangle?
No.
Could a right triangle ever be equilateral triangle?
No but it is possible for it to be an isosceles triangle with angles of 45, 45 and 90 degrees
Could a triangle ever be an equilateral triangle?
Yes and it will have 3 equal sides
Could an equilateral triangle ever be a parallelogram?
no...beacuse a parallelogram has to have parallel sides....a triangle can never have parallel sides
Could a right triangle ever be an equilateral triangle?
No, never. There's more than one way to get at it: -- The angles of an equilateral triangle are all equal. Since the interior angles of any triangle always add up to 180 degrees, the angles of an equilateral triangle are each 60 degrees. There's no right angle. -- A right triangle is a triangle with an interior right angle. An equilateral triangle has three equal angles. If it were a right triangle, each angle would be a right angle. Then: -- the three interior angles would add up to 270 degrees, which is impossible in a triangle; and -- two sides would be parallel to each other, they would never meet, and there could be no triangle. -- The sides of a right triangle satisfy the Pythagorean equation: A2 + B2 = C2. If all three sides were equal, then you'd have (two times the square of a number) equal to (the square of the same number), which isn't possible. -- Remember that the 'hypotenuse' of a right triangle is the longest side. But an equilateral triangle can't have a 'longest' side.NOA right triangle always has a 90 degree angle and an equilateral triangle always has three 60 degree angles, so no.
