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Step-by-step explanation:
Triangle - Definition with Examples
What is a Triangle?
In geometry, a triangle is a closed, two-dimensional shape with three straight sides. A triangle is also a polygon.
Triangle math geometry
We can find the shape of a triangle in a flag, the musical instrument triangle, and a roadside signboard.
Triangle shape real life things
Properties of a Triangle
Triangle properties angle sides
A triangle has three sides, three vertices, and three angles.
The sum of the three interior angles of a triangle is always 180°.
The sum of the length of two sides of a triangle is always greater than the length of the third side.
A triangle with vertices P, Q, and R is denoted as △PQR.
The area of a triangle is equal to half of the product of its base and height.
Different Types of Triangles
To classify triangles according to their angles, we measure each of its interior angles. Triangles can be classified by angles, as:
Acute Triangle
Right Triangle
Obtuse Triangle
Types of triangles by angles
An acute triangle has all interior angles acute (less than 90°), a right triangle has one right angle (equal to 90°) and an obtuse triangle has one obtuse angle (greater than 90°).
To classify the triangles according to their sides, we measure the length of each of its sides. Triangles can be classified by their sides, as:
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Types of triangles by sides
To classify triangles according to both angles and sides, we measure the interior angles and length of the sides of the triangle. Few examples of triangles classified on the basis of both angles and sides are:
Acute Equilateral Triangle
Right Isosceles Triangle
Obtuse Scalene Triangle
Types of triangles by both sides and angles