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If you have an equilateral triangle ABC, then draw the line from A to D, the mid point of BC.

Then in trangles ABD and ACD, AB = AC (equilateral), BD = DC (D is midpoint), and AD is common so these two triangles are congruent and so angle ABD = angle ACD.

That is, angle ABC = angle ACB.

Similarly the third angle can be shown to be the same. Thus an equilateral triangle is also equiangular.

Now, sum of the interior angles of any triangle is 180 degrees. So since sum of three equal angles measures is 180 degrees, they must be 60 degrees each, i.e. NOT 90 degrees so there is no right angle..

Q: Argument to showing that an equilateral triangle cannot have a right angle?

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An equilateral triangle is a triangle where all sides are the same length and all three angles are the same. The sum of the angles of a triangle is 180 degrees. 180 ÷ 3 = 60

"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.

A triangle with sides of length 5,6, and 7 is a Scalene triangle.It cannot be an equilateral triangle as all three sides must be of equal length.It cannot be an isosceles triangle as this requires two sides of the same length.It cannot be a right angled triangle as 52 + 62 does not equal 72.

No, a triangle cannot have more than one obtuseangle.

A 3-D TRIANGLE cannot have 5 sides.

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An oxymoron. An equilateral triangle cannot be obtuse; an obtuse triangle cannot be equilateral.

An equilateral triangle is a triangle where all sides are the same length and all three angles are the same. The sum of the angles of a triangle is 180 degrees. 180 ÷ 3 = 60

"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.

no. an equilateral triangle is also equiangular, so the angles are 60 degrees each. a right triangle cannot be equilateral

if a triangle is acute, then the triangle is equilateral

It cannot have four sides.

It does nothing. Because it cannot exist.

no. In fact a right angled triangle cannot be equilateral. An equilateral triangle is also equiangular: that is, all its angles are equal. The sum of all three angles of a [plane] triangle must be 180 degrees and so they cannot be 90 deg each.

A triangle is a polygonal shape, not an angle and therefore, cannot have a supplementary angle.

No a right triangle cannot be equilateral, the hypotenuse will always be larger than the sides.

A right-angled triangle can have equal sides, but does not have to. A right-angled triangle with two equal sides CANNOT be an equilateral triangle. A right-angled triangle cannot be an equilateral triangle.Divide a square along the diagonal, and you are left with two right-angled triangles with two sides of equal length.

No but a right angle triangle can be considered to be an isosceles triangle when its interior angles are 90, 45 and 45 degrees.