Question

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

Answer 1

Answer:

Area= 1/2 b*h but 20^2=b^2+h^2 or

h=sqrt (400-b^2)

area= 1/2 * sqrt( )*b= 1/2 b*sqrt ( )

take the derivative, set darea/db =0, ans solve for b.

maximum area when the rectangle is a square, so that makes each side 20/√2

and the maximum area is thus 200 cm^2

Answer 2

Step-by-step explanation:

area 1/2b h 20²2 =b²2+ h²2 or