A triangle is a three-sided polygon that closes in a space. It uses lines, line segments, or rays to form the three sides. When three sides form and meet, they create three vertices or corners. The corners inside are interior angles. The outside corners are known as exterior angles.
Properties of a Triangles
Every shape in Maths has some properties which distinguish them from each other. Let us discuss here some of the properties of triangles.
- It has three sides and three angles.
- The sum of the angles is always 180 degrees.
- The exterior angles always add up to 360 degrees.
- The sum of consecutive interior and exterior angles is supplementary.
- The sum of the lengths of any two sides is greater than the length of the third side. Similarly, the difference between the lengths of any two sides is less than the length of the third side.
- The shortest side is always opposite the smallest interior angle. Similarly, the longest side is always opposite the largest interior angle.
Types of Triangles
Based on the length of the sides, They are classified into three categories:
- Scalene Triangles.
- Isosceles Triangles.
- Equilateral Triangle.
Based on the measurement of the angles, It can be classified into three categories:
- Acute Angle Triangles.
- Right Angle Triangle.
- Obtuse Angle Triangles.
Types of Triangle
The area is the region occupied by the triangle in 2d space. The area for different triangles varies from each other depending on their dimensions. We can calculate the area if we know the base length and the height of a triangle. It is measured in square units. Suppose a triangle with base ‘B’ and height ‘H’ is given to us, then, the area of a triangle is given by-
Formula:
Area of triangle = Half of Product of Base and Height
Area = 1/2 × Base × Height |
Problem Solved
Question- Find the area of a triangle having a base equal to 10 cm and height equal to 8 cm.
Solution- We know that Area = 1/2 × Base × Height
= 1/2 × 10 × 8 cm^{2}
= 40 cm^{2}