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What is triangle ? Explain the types of triangle.
Triangle:
A triangle has three sides and three angles. It is a closed figure with three line segments as its boundary. These line segments are called sides. It has three corners called vertices. The symbol for a triangle is Δ.
The three sides and three angles of a triangle together are called the six parts or elements of the triangle.
Types of Triangles:
A triangle can be classified by either its sides or its angle.
A triangle is classified in three types as scalene, isosceles, or equilateral triangle based on its sides.
1. Equilateral triangle
A triangle having all sides equal is called an equilateral triangle. It’s all angles are also equal. As sum of three angles of a triangle is 180°, so each angle of an equilateral triangle is 60°.
2. Isosceles triangle
A triangle having two sides equal is called an isosceles triangle. The angles opposite to equal sides are also equal.
3. Scalene triangle
A triangle having all sides of different length is called scalene triangle.
A triangle is classified in three types as acute, right, or obtuse triangle based on its angles:
1. Acute triangle
A triangle having all angles less than 90° is called acute triangle.
2. Obtuse triangle
A triangle having one angle more than 90° is called an obtuse triangle.
3. Right triangle
If one angle of a triangle is 90°, the triangle is called a right triangle.
The side opposite to the right angle is called the hypotenuse. The hypotenuse is larger than the other two sides.
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