concepts of triangles and their distinction on the basis of sides and angle
Answers
on the basis of sides
scalene
isosceles
equilateral
On the basis of angles
ACUTE ANGLE TRIANGLE
OBTUSE ANGLE TRIANGLE
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Answer:
Properties of a triangle
These are the 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.
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.
Special cases of Right Angle Triangles
Let’s also see a few special cases of a right-angled triangle
45-45-90 triangle
In this triangle,
Two angles measure 45°, and the third angle is a right angle.
The sides of this triangle will be in the ratio – 1: 1: √2 respectively.
This is also called an isosceles right-angled triangle since two angles are equal.
30-60-90 triangle
In this triangle,
This is a right-angled triangle, since one angle = 90°
The angles of this triangle are in the ratio – 1: 2: 3, and
The sides opposite to these angles will be in the ratio – 1: √3: 2 respectively
This is a scalene right-angled triangle since all three angles are different.