a: Defining and parts of triangle diagram
plain different types of triangle.
Answers
Answer:
Defining and parts of triangle diagram
plain different types of triangle.
Step-by-step explanation:
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
Properties of a triangle :-
1. The sum of the three angles of any triangle is always 180 degree. <A+ <B + <C =180°
2. Any angle of a triangle is always greater than zero and less than 180°.
3. Not more than one angle can be 90° or more.
4. The sum of length of any two sides will always be greater than the length of the third side.
5. It is a closed plain figure.
Types of Triangles :-
A triangle can be classified by either its sides: or its angle.
(A) 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.
(B) 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 anyone angle of a triangle is 90° , the triangle is called right triangle.