what do you mean by "Triangle"? Write its properties with diagram and prove it? give any two example based on their properties.
Answers
Answer:
Step-by-step explanation:
Properties of a triangle
A triangle has three sides, three angles, and three vertices. The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle. The sum of the length of any two sides of a triangle is greater than the length of the third side
Answer:
may this answer help you
Step-by-step explanation:
As the name suggests, the triangle is a polygon that has three angles. So, when does a closed figure has three angles?
When it has three line segments joined end to end.
Thus, we can say that a triangle is a polygon, which has three sides, three angles, three vertices and the sum of all three angles of any triangle equals 180°.
Basic Properties of Triangles
A triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
The sum of the length of any two sides of a triangle is greater than the length of the third side.
The side opposite to the largest angle of a triangle is the largest side.
Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.
Types of triangles
Triangles can be classified in 2 major ways:
Classification according to internal angles
Classification according to the length of its sides
Properties of triangles - Types of triangles classified by angles and by side
Classification of a triangle by internal angles
Based on the angle measurement, there are three types of triangles:
Acute Angled Triangle
Right-Angled Triangle
Obtuse Angled Triangle
Let us discuss each type in detail.
Acute Angle Triangle
Properties of triangle - Acute angled triangle
A triangle that has all three angles less than 90° is an acute angle triangle.
So, all the angles of an acute angle triangle are called acute angles
Given below is an example of an acute angle triangle.
Right-Angle Triangle
Properties of triangles - RIght angled triangle - Pythagoras theorem
A triangle that has one angle that measures exactly 90° is a right-angle triangle.
The other two angles of a right-angle triangle are acute angles.
The side opposite to the right angle is the largest side of the triangle and is called the hypotenuse.
In a right-angled triangle, the sum of squares of the perpendicular sides is equal to the square of the hypotenuse.
For e.g. considering the above right-angled triangle ACB, we can say:
(AC)^2 + (CB)^2 = (AB)^2
This is known as Pythagoras theorem