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"It can be isosceles but not equilateral. Since a property of an equilateral triangle is having all angles equal (hence all sides equal), having one right angle changes that. The angles would be 90, some alpha, and some beta (not equal). Having the angles 90, 45, and 45 renders it an isosceles triangle."
This is all well and correct -- for a triangle in a plane. But if your triangle is on a different surface, then you can indeed have an equilateral right triangle. If the triangle is on a sphere, for example, you can have right angles at three different points, each a quarter of the circumference from each other, and the resulting triangle (with sides that we would perceive as curved) would also be equilateral.
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A isosceles triangle is a special type of equilateral triangle?
Not ... exactly. It would be closer to accurate to say that an equilateral triangle is a special case of the isosceles triangle.All equilateral triangles are (also) isosceles; but most isosceles triangles are not equilateral.
What is right angle triangle and isoceles triangle?
A right angle triangle is a triangle with an angle 90 degrees. An isosceles triangle is a triangle with two or more equal angles/ length of lines. An equilateral triangle can also be an isosceles triangle.
What equilateral triangles are isosceles?
No.
Why is an equilateral also a isosceles?
It isn't. An equilateral triangle has 3 equal sides whilst a isosceles only has 2. ;)
Can a right triangle also be an isosceles triangle or can it be an equilateral triangle explain?
A right triangle can be an isosceles triangle, because the definition of an isosceles triangle is a triangle that has 2 sides equal to each other. A 45,45,90 degree triangle has 2 sides equal to each other, while the hypotenuse is different. It cannot be an equilateral triangle because of the formula a^2+b^2=c^2. With this formula, there is no possible way that: a, b, and c can all be equal to each other. To recap: It can be an isosceles triangle, but not an equilateral one.
