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Quadrilaterals are not triangles, and there is no such thing as a quadrilateral triangle. Perhaps you mean equilateral, in which case, it has 3 equal angles and 3 equal sides; the word equilateral actually means equal sides. And quadrilateral means four sides. Triangle means 3 angles.
The word "isosceles" comes from Greek roots and means "equal leg." An isosceles triangle has two sides of equal length.
An equilateral triangle is on in which all three sides are equal in length . An equilateral triangle is thus an equal-sided triangle.
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Isosceles triangle