What is a Triangle?

A triangle is a polygon with three sides. The sum of interior angles of a triangle is always 180°. The sum of the length of two sides of a triangle is always greater than the length of the third side

How to find the area of the triangle?

  1. Basic formula
  2. Heron’s formula
  3. Trigonometric formula
  4. Circumcircle and Incircle of the triangle

Area of a Triangle Using Basic formula

Area of A triangle = ½ × c × h {Where c and h are the base and height of the triangle, respectively}

Area of a Triangle Using Heron’s formula

Area of Triangle = √[s(s-a)(s-b)(s-c)] {Where s is the half of the Perimeter of the triangle}

Area of triangle Using Trigonometry

Area of A triangle = ½ × b × c × sin A {Where b and c are the adjacent sides of the triangle and A is the Angle between them}

Using circumcircle and Incircle of the triangle

Using circumcircle

Area of A triangle = (abc)/(4R) {Where a, b & c are the sides of a triangle and R is the circumcircle of the triangle}

Using incircle

Area of A triangle = (a+b+c)r/2 {Where a, b & c are the sides of a triangle and r is the incircle of the triangle}