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# Could a right triangle ever be an equilateral triangle?

Updated: 10/31/2022

Wiki User

7y ago

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.
NO
A right triangle always has a 90 degree angle and an equilateral triangle always has three 60 degree angles, so no.

Wiki User

7y ago

Wiki User

11y ago

No, because an equilateral triangle must also be equiangular. And you cannot have a triangle with three right angles.

Mohammed Khalil

Lvl 2
4y ago

Yes

Anonymous

Lvl 1
4y ago

Never

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Q: Could a right triangle ever be an equilateral triangle?
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Related questions

### 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

No.

### Could a right triangle ever be an an equilateral triangle?

no. A triangle has total 180 degrees. An equilateral triangle requires all three angle measures to be the same, so every angle HAS to be equal to 60 degrees. A right triangle has 1 90 degree angle and 2 45 degree angles, so it can never be an equilateral triangle.

### Could a triangle ever be an equilateral triangle?

Yes and it will have 3 equal sides

### Can a right triangle be classified as an equilateral triangle?

No not ever because they both have different properties

### Could an equilateral triangle ever be a parallelogram?

no...beacuse a parallelogram has to have parallel sides....a triangle can never have parallel sides

### Can a right angle triangle ever be equilateral?

No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.

### Is a right angled and a eqilateral triangle the same?

Absolutely not, not ever, nohow! An equilateral triangle has three angles of 60 degrees, a right-angled triangle must have one of 90 degrees.

### Can a triangle be classified as an equilateral triangle?

No not ever because they both have different properties

nope

### Could a right triangle ever become an equilateral triangle?

No. Regardless of the size the Hypotenuse (the side opposite the right angle) would always be bigger athn either of the other two sides. It has to be as the sum of its square is always equal to the sum of the squares of both of the other two sides.

### Is an isosceles triangle sometimes always or never equilateral?

An isosceles triangle is one that has two sides of the same length and one side different An equilateral triangle is one that has all of its sides of equal length. All of the angles on an equilateral triangle are 60 degrees. A triangle with two sides 4cm and one side 100m would be an isosceles. But an equilateral triangle has all of the sides exactly the same so therefore an isosceles triangle can never ever be an equilateral triangle