Area of a Triangle

Area of a triangle can be calculated by multiplying base and and height or altitude by 1/2.

Formula:

(1/2) x Base x Height

Now let us see example problems to understand this topic.

Example 1:

Find the area of the triangle having base 8 cm and altitude 4 cm.

Solution:

Area of triangle = (1/2) x Base x Height

Here base = 8 cm and height = 4 cm

                        = (1/2) x 8 x 4

                        = 4 x 4

                        = 16 cm²


Example 2:

Find the area of the triangle having base 6 cm and perpendicular height 12 cm.

Solution:

Area of triangle = (1/2) x Base x Height

Here base = 6 cm and height = 12 cm

                        = (1/2) x 6 x 12

                        = 3 x 12

                        = 36 cm²


Example 3:

Find the area of the triangle having base 12.5 cm and perpendicular height 10 cm.

Solution:

Area of triangle = (1/2) x Base x Height

Here base = 12.5 cm and height = 10 cm

                        = (1/2) x 12.5 x 10

                        = 12.5 x 5

                        = 62.5 cm²


Example 4:

A triangle shaped pillow need to be covered by cloth. The base of the pillow is 15 cm and height is 12 cm. If the cost of 1 square cm cloth is $3 then what is the total cost of the cloth needed.  


Solution:

Area of triangle shaped pillow = (1/2) x Base x Height

Here base = 15 cm and height = 12 cm

                        = (1/2) x 15 x 12

                        = 15 x 6

                        = 90 cm²

The cost of 1 square cm cloth = $ 3

The total cost = Area of pillow x Cost of 1 square cm cloth

                    = 90 x 3

                    = $270 

Therefore the total cost required to cover the pillow is $ 270.

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Area of a Triangle to Formulas for Shapes