Question

The base of a triangle is 9/4 times of its height. If the area of triangle is 144 cm2. Find the height and the base.

Answer 1

Explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

• According to Question :-

`\tt\to Area_((\triangle))=(base* height)/(2)\\\\\tt\to 144cm^2 = (9h* h)/(4* 2 ) \\\\\tt\to h^2 =(12* 12 * 2 * 2 )/(3* 3 )\\\\\tt\to h =\sqrt{(12* 12 * 2 * 2 )/(3* 3 )}\\\\\tt\to h =((12)(2))/(3) \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}`

Therefore ,

• Height = h = 8cm .
• Base ,= 9h/4 = 18cm .