Area of a Standard Triangle

Area of a shape is to find out the amount of space it consumes two dimensionally. In math area of different shapes are studied and specific formulas have been derived to calculate problems on area of some frequently used shapes like triangle, square, cylinder etc. Area is measured in square units. Here we are going to study about the area of standard triangles. A standard triangle is one which as sides in such a way that, the sum of two angles gives the third angle. Here we are going to learn how to calculate the area of  a standard triangle.

Standard triangle:

A triangle which has the angles in such a way that, the sum of two smaller angles give the third angle. It can also be defined as the triangles having sides in such a way that the sum of the square of two smaller sides is equal to the square of the bigger side (i.e. satisfying Pythagoras theorem). The formula for finding the area of  standard triangles is given below,

                                  Area of a standard triangle = `1/2` b * h
                                  where,
                                   b = base width of the triangle,
                                   h = height of the triangle.

Example problems on standard triangles:

Here are few examples illustrating the calculation of area for a standard triangle,

Example 1:
Find the area of the standard triangle shown in the figure.

Solution:
From the figure it is clear that,
b = 5cm
h = 12 cm.
Area of the triangle = `1/2` (b)* (h)
                                   = 1/2 (5) (12)
                                   = 60/2
                                   = 30 cm²

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Example 2:
Find the area of the standard triangle shown in the figure.

Solution:
From the figure it is clear that,
b = 3cm
h = 4cm.
Area of the triangle =` 1/2` (b)* (h)
                                   = 1/2 (3) (4)
                                   = 12/2
                                   = 6 cm²