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A triangle in which all three sides are equal is called?
A. Isosceles triangle
B. Equilateral triangle
C. Scalene triangle
D. Right-angled triangle
Correct Answer Is Option = Equilateral triangle
Notes / Explanation
A triangle in which all three sides are equal is called an equilateral triangle, and it is one of the important kinds of triangles studied in the branch of mathematics that deals with shapes, known as geometry. A triangle is a flat shape with three straight sides and three corners, and triangles can be classified into different kinds according to the lengths of their sides and the sizes of their angles. When a triangle is classified according to the lengths of its sides, there are three main kinds. A triangle in which all three sides are equal in length is called an equilateral triangle. A triangle in which two of the sides are equal in length is called an isosceles triangle. And a triangle in which all three sides are of different lengths is called a scalene triangle. The equilateral triangle, in which all three sides are equal, has a special and important property concerning its angles, for in an equilateral triangle all three angles are also equal to one another, and since the three angles of any triangle always add up to one hundred and eighty degrees, each of the three equal angles of an equilateral triangle must be sixty degrees. The equilateral triangle is therefore a very regular and symmetrical shape, with all its sides equal and all its angles equal, and it has a balanced and pleasing appearance. Because of its regularity and symmetry, the equilateral triangle appears often in geometry, in design and in nature, and it is used in many constructions and patterns. The classification of triangles according to their sides, into equilateral, isosceles and scalene, is a basic and important part of the study of geometry, and triangles may also be classified according to their angles, into those with a right angle, those with all angles less than a right angle, and those with one angle greater than a right angle. Understanding the different kinds of triangles and their properties is useful in many areas of mathematics and its applications. For PPSC and other competitive examinations, the key points to remember are that a triangle in which all three sides are equal is called an equilateral triangle, that in such a triangle all three angles are also equal, each being sixty degrees, that a triangle with two equal sides is called isosceles and one with all sides different is called scalene, and that the equilateral triangle is a very regular and symmetrical shape.
