No. In an equilateral triangle, all three angles are the same. Since they are not ninety degrees, you can't have a right triangle that is also an equilateral triangle.
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No, it is not possible.
No, that's not possible. Consider these facts: -- all three angles of any triangle always add up to 180 degrees -- all three angles in an equilateral triangle have to be the same size -- a right triangle has a right angle in it; a right angle is 90 degrees An equilateral right triangle would need three right angles in it, and they would add up to 270 degrees. As we said earlier: Impossible.
No but it is possible for it to be an isosceles triangle with angles of 45, 45 and 90 degrees
No
No, because angels don't come to earth for triangles. However, you can certainly have right angled equilateral triangles.