Because it has 2 equal base angles and 2 equal sides
It is the only triangle that is both an isosceles and right angle triangle
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If a triangle is an isosceles triangle as well as being a right-angled triangle, the size of the two angles (that are not right angles) are 45 degrees.
An obtuse triangle or a right angle triangle. An equilateral is definitely an isoceles triangle * * * * * Not true. An obtuse or right angled triangles can be isosceles. It depends on the sizes of the two smaller angles. An isosceles triangle has two equal angles so a triangle with angles of size [A, (180-A)/2, (180-A)/2] degrees where 90 < A < 180 degrees would be an obtuse angled isosceles triangle. A triangle with angles of size (90, 45, 45) degrees is a right angled isosceles triangle.
In all triangles, the angles always measure up 180 degrees. In an isosceles triangle two of the angles are equal.
An isosceles triangle has two equal sides, and if one of the angles is 90 degrees, than the other two have to be equal. A triangle's angles always add up to 180 degrees, so the other two have to be 45 degrees.
An isosceles triangle can have an obtuse angle and two equal acute angles in which all 3 angles add up to 180 degrees.