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.

**Related Topics**

**Perimeter of sector****practice questions with solution****Length of arc****Practice questions on length of arc****Perimeter of square****Perimeter of parallelogram****Perimeter of rectangle****Perimeter of triangle****Area of a circle****Area of Semicircle****Area of Quadrant****Area of sector****Area of equilateral triangle****Area of scalene triangle****Area of square****Area of rectangle****Area of parallelogram****Area of rhombus****Area of trapezium****Area of quadrilateral****Area around circle****Area of pathways****Area of combined shapes**

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