Question

What are the six types of triangles?

Answer 1

Hint: We know that a triangle is a polygon with three sies. It is the smallest polygon possible. There are different types of triangles. We will classify them based on the length of the sides and also based on the measurement of the angles that are formed in the triangle.

Complete step-by-step answer:
A triangle is a two-dimensional, three-sided polygon. It has three edges and three vertices.
They are classified as follows:
1. Based on Side Lengths:
a. Equilateral Triangle:
An equilateral triangle is a triangle that has all three sides of the same length. It is also an equiangular triangle where all the internal angles are ${60^ \circ }$.

b. Isosceles Triangle:
An isosceles triangle has two sides of equal length.

c. Scalene Triangle:
A scalene triangle is a triangle that has three unequal sides.

2. Based on Angle Measurements:
a. Acute Angle Triangle:
A triangle in which all the interior angles are acute, that is they measure less than ${90^ \circ }$ is called an acute angle triangle.

b. Obtuse Angle Triangle:
A triangle in which one of the angles is obtuse, that is, greater than ${90^ \circ }$ is called an obtuse angle triangle.

c. Right angle triangle:
Right angle triangle is a triangle in which one angle is a right angle that is exactly ${90^ \circ }$

Note: There are two classifications for the types of triangles. Make sure you group them according to the sides and angles only. Acute, obtuse, and right angles triangles have specifications about the number of angles. Remember the diagrams, it will be easier to get to the definition.