# Area of a Triangle

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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