Area of a Triangle Equation

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A triangle in Geometry is a plane figure which consists of 3 lines joined together as the sides of the triangle and consists of 3 respective angles. The point where two sides meet is called the vertex of the triangle. Area of the triangle is region extended and covered inside the boundary lines or inside the sides of the triangle.

Example 1: Find the area of the triangle if the base length is 400cm and height of the triangle is 7m.

Given the length of a side = base length, b = 400cm

Convert its units form ‘cm’ to ‘m’, we get 400cm * (1m/100cm) = 4m

The perpendicular drawn to a side from a vertex is the ‘height’ of the triangle.

Given the height of the triangle, h = 7m

Area of the triangle formula, A = 1/2 * (base length) * (height)

Area, A = 1/2 * (4m) * (7m) = 1/2 * (28m2) = 14m2

Area of the given triangle, A = 14m2


Example 2: Find the area of the triangle if the base length is 35cm and height of the triangle is 22cm.

Given the length of a side = base length, b = 35cm

The perpendicular drawn to a side from a vertex is the ‘height’ of the triangle.

Given the height of the triangle, h = 22cm

Area of the triangle formula, A = 1/2 * (base length) * (height)

Area, A = 1/2 * (35cm) * (22cm) = 1/2 * (770) = 385cm2

Area of the given triangle, A = 385cm2

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