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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.
It is the shape formed by three non-collinear points on the surface of a sphere which are joined together by straight lines in which two of the sides are of the same length. An example might be a triangle from the earth's North pole to two points on the same latitude - specially the equator.
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.