College Math

Based on these properties of angles, triangles are also classified as acute triangle angles of the triangle are acute), right triangle triangle (one angle of the triangle is an obtuse angle). It should also be noted that the sum total of all three angle of the triangles should always be equal to 180 0 . The different types of triangles categorized on angles are given as follows: (wherein all three (one angle of the triangle is a right angle), and obtuse

Triangles can also be categorized on the basis of their sides, and are termed as scalene sides of the triangle are congruent or same), isosceles equilateral (when all three sides of the triangle are congruent). The classification of triangles based on sides is shown here: (none of the (two sides of the triangle are congruent), and

Triangle inequality theorem states that the sum of two sides of any triangle will always be greater than the third side. For instance, a triangle cannot be formed if its sides are measured as 5cm, 7cm and 13cm, since adding two sides: 5+7 is not greater than the third side, that is, 13cm. Area of a triangle: The area of the triangle can be found by using the following formula: = 1 2 ∗ ∗ ℎ ℎ = ℎ 2 The perimeter of the triangle can be found by adding the measure of all three sides of a triangle, that is P = a + b + c Pythagorean Theorem: This theorem is applicable only to right angle triangle. As per the Pythagorean Theorem, the square of the hypotenuse of the triangle is equal to the square of the other two sides of the triangle. The side opposite to the right angle of the right angle triangle is known as the hypotenuse. In the given triangle,

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