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A Right triangle is a type of triangle is the only type of triangle that should contain a right angle. If there are 2 equal sides it must be an isosceles triangle.
So the triangle is a Right Isosceles triangle

The description relates to an isosceles right triangle.

An isosceles right triangle can be described as the triangle that has two sides that are both equal while it also has an angle that will be 90° which is the right angle.

In this case, the two equal sides are given as 6 inches while it also has an angle of 90°. Therefore, it's an isosceles right triangle.

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