Area of a Triangle

Area of a Triangle A triangle is a polygon which consists of exact 3 sides. A polygon is a closed geometric shape which consists of n number of sides. Since the number of sides of this polygon is 3, hence the polygon is called triangle. Area of a triangle is given by the half times the product of the base length and the height of the triangle. Area is the portion covered inside the triangle bounded by its sides. Example 1: If the perimeter of a triangle is 30m and all the sides of the triangle are equal to each other, then calculate the area of the triangle. The height of the triangle is 9m. Let a side of the triangle = x. Since all the sides of the triangle are equal to each other, hence all the sides are = x Perimeter of the triangle, P = Sum of the sides of the triangle = 30m x + x + x = 30 == 3x = 30, hence x = 10m Given the height of the triangle, h = 9m Area of the triangle formula, A = 1/2 * (base length) * (height) Area, A = 1/2 * (10m) * (9m) = 1/2 * (90m2) = 45m2 Area of the given triangle, A = 45m2 Example 2: Calculate the area of the triangle if the length of the base is 10.6m and height of the triangle is 15.8m Given the length of a side = base length, b = 10.6m The perpendicular drawn to a side from a vertex is the height of the triangle. Given the height of the triangle, h = 15.8m Area of the triangle formula, A = 1/2 * (base length) * (height) Area, A = 1/2 * (10.6m) * (15.8m) = 1/2 * (167.48m2) = 83.74m2 Area of the given triangle, A = 83.74m2