Question

The basic of an isosceles triangle is 10 cm and one of its equal side is 12 cm find its area using heron's formula

Answer 1

For an equilateral triangle with side ‘a’, area

       

       ∴ Each side of the triangle = a cm

       ∴ a + a + a = 180 cm

       ⇒ 3a = 180 cm

       

       Now, s = Semi–perimeter 

       ∴ Area of a triangle

           

       ∴ Area of the given triangle

       

       

       Thus, the area of the given triangle