Example:
The base and height of a triangle are 6 cm and 7 cm respectively. Find its area. Solution:
Given that,
base = 6 cm and height = 7 cm. The area of a triangle = 1/2 * base * height
= 1/2 * 6 * 7
= 3 * 7
= 21 sq.cm.

Example:
The height of a triangle 3 times its base. Find its base if its area is given by 24 sq.cm. Solution:
Let 'x' be the base of the triangle.
Given that
area = 24 sq.cm and height = 3x cm. The area of a triangle = 1/2 * base * height.
i.e 24 = 1/2 * x * 3x
i.e 24 x 2 = 3x^{2}
i.e x^{2} = 16
i.e x = 4 cm.
Therefore base of the triangle = 4 cm.

Directions: Read the above example carefully and answer the following questions. Also write at least 10 examples of your own.

The height of a triangle is 2 times the base. If the area is given by 64 square metres, then find its base and height.

Find the area of the triangle whose base and height is given by (169/2) cm and (225/15) cm.