# Heron's Formula

## Measurement of the extent of a two-dimensional surface or shape in a plane is called area. Area of the right angled triangle = ½ × base × height Heron’s formula: Where a, b, c are the sides of the triangle, and s = semi-perimeter = (a + b + c) / 2 Brahmagupta - an Indian mathematician who worked in the 7th century, proved a generalised form of Heron’s Formula, to find the area of a quadrilateral. Brahmagupta’s Formula for Area of Quadrilateral The area A of a cyclic quadrilateral with sides a, b, c and d is given by: Where s is the semi-perimeter of the quadrilateral: s = (a + b + c + d) / 2 An equilateral triangle is a triangle with all three sides of equal length. An equilateral triangle has also three equal angles of 60°. An isosceles triangle is a triangle with at least two sides of equal length. An isosceles triangle has also two angles of equal measure. A parallelogram is a quadrilateral that has two pairs of parallel sides. In a right-angled triangle, the square of the length of the longest side is equal to the sum of the squares of the other two sides containing the right angle. A scalene triangle is a triangle with all three sides of unequal length.

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