Question

If the hypotenuse of a right triangle is 20 CM. Then what is the maximum area of the triangle

Answer 1

Step-by-step explanation:

I hope this will help you...

Answer 2

Answer: 100

Explanation:

Solution :

By Pythagorus theorem:

$b^{2} + h^{2} = 20^{2}$      

$area = \frac{bh}{2} \\\\(b+h)^{2} = b^{2} +h^{2} + 2bh\\\\\frac{bh}{2} = \frac{1}{4}[(b+h)^{2} - 20^{2} ]\\\\AM\geq GM\\\frac{(b+h)}{2} \geq \sqrt{bh}$