On the surface of a sphere, find any three points which are not on a great circle. The shape formed by joining the three pairs of points using arcs of great circles is a spherical triangle. The triangle is isosceles if two of the arcs are of the same length [and the third is not].
A great circle, in this context, is a circle on the surface of the earth and whose centre is at the centre of the earth.
Yes, they do exist.
A triangle that has one right angle and is isosceles is called an isosceles right triangle.
Isosceles
An isosceles triangle can have a 90 degree angle, but doesn't necessarily. Similarly, a right triangle can be an isosceles triangle, but isn't necessarily.
There can be only one pair of perpendicular lines in an isosceles triangle when it is a right angled isosceles triangle. A non right angled isosceles triangle has no pairs of perpendicular lines.
Yes, they do exist.
equilateral triangle (and so, if it is in Euclidean (plane) space, it has 3 angles all of which are 60°) otherwise (in Hyperbolic or Spherical space) it is an isosceles triangle.
A right triangle that is also isosceles cannot have an angle of 57 deg 24 sec unless it is in spherical - as opposed to plane, or flat - space.
An acute triangle can be an isosceles triangle, but it doesn't have to be. An isosceles triangle can be an acute triangle, but it doesn't have to be.
isosceles triangle
A right triangle and an isosceles triangle have the fact that they are both triangles in common. A right triangle can also be an isosceles triangle.
An isosceles triangle is a triangle that has two equal sides.
Are isosceles triangle sometimes an equilateral triangle
You cannot. An isosceles triangle cannot be scalene and a scalene triangle cannot be isosceles. So an isosceles scalene triangle cannot exist.
how is an isoscelels trapezoid related to a isosceles triangle
In an isosceles triangle and an isosceles trapezoid, both base angles are congruent
An obtuse triangle is not necessarily isosceles, but it can be.