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}