Study of Triangle formulas for various parameters:

If we recall triangle definition, it's a geometric shape with three sides and angles. The name triangle itself indicates that it has 3 angles. There are several triangle formulas for finding the angles. One such triangle formula says that the sum of all 3 angles of a triangle is equal to 180°. Numerically, ∠A + ∠B + ∠C = 180 for A, B & C being the interior angles of a triangle.

Classifying triangles based on the angles:

The sides and angles provides various mechanisms for classifying triangles. On the basis of sides, it is classified in 3 types viz. Equilateral, Isosceles & Scalene. A Equilateral triangle has same length of all 3 sides that makes all angles 60°. Isosceles triangle has 2 sides of same length. Hence the respective opposite angles are also same. Whereas In Scalene triangle, all sides have different length. The figure below makes this things clear.

types_of_truangles

Triangle Math lets you classify them on the basis of their internal angles viz. Right-Angled, Acute-Angled & Obtuse-Angled triangle. A Right-Angled triangle has one of its angle equal to 90°. A triangle having all of its angles less than 90° is called an Acute-Angled triangle. While a triangle with one of its angle greater than 90° is called Obtuse-Angled triangle as shown below.

types_of_truangles_inner

Let's find out the Perimeter of a triangle:

Perimeter of a triangle is given by the sum of the lengths of its sides. Hence Perimeter of the below given triangle will be P= a + b + c.

perimetr_of_triangle

Have a look at different Triangle properties:

The triangle properties & triangle theorems build the basic of study of geometry. One such property is that of triangle inequality. It states that the sum of 2 sides of a triangle is always greater than the 3rd side, i.e. from the above diagram, it's always true that a + b > c, a + c > b & b + c > a.

Area of a triangle is also it's important property. Area = base * height/2. One more property is to find the Volume of triangle prism. It is given by V = base * height * length /2.

triangle_inquolity

More topics in Triangles
Triangles Area of Triangles
Isosceles Triangles Triangle Inequatdty Theorem
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