HERON'S FORMULA
Area of a Triangle Triangle The plane closed figure, with three sides and three angles is called as a triangle. Types of triangles: Based on sides - a) Equilateral b) Isosceles c) Scalene Based on angles - a) Acute angled triangle b) Right- angled triangle c) Obtuse angled triangle Area of a triangle A r e a = 1 2 × b a s e × h e i g h t In case of equilateral and isosceles triangles, if the length of the sides of triangles are given then, we use Pythagoras theorem in order to find the height of a triangle. Area of an equilateral triangle Consider an equilateral Δ A B C , with each side as a units. Let AO be perpendicular bisector of BC. In order to derive the formula for the area of equilateral triangle, we need to find height AO. Equilateral triangle ABC Using Pythagoras theorem, A C 2 = O A 2 + O C 2 O A 2 = A C 2 − O C 2 Substitute A C = a , O C = a 2 ...