A right angle triangle with 45, 45 and 90 degree angles is similar to an isosceles triangle
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Two sides of an isosceles triangle are equal. The base is the other side.
If it has 2 equal acute angles and 1 obtuse angle then it is an isosceles triangle.
An isosceles triangle is a triangle with at least two equal sides. While there are no other names, an equilateral triangle has 3 equal sides so it is also an isosceles triangle