Question

Suppose that a and b are the side lengths in a right triangle whose hypotenuse is 10cm long. Show that the area of the triangle is largest when a=b?

Answer 1

know \[a^2+b^2=10^2\]

\[A=\frac{1}{2}a\cdot b\]

solve the first equation for a or b ... put into the second ...diff..setequal to zero...yad yad yad ;)

Answer 2

is that all of them?

Answer 3

Yup, pretty much. Just one more.
http://openstudy.com/groups/mathematics/updates/4e376adf0b8bf47d065ed79d

Thank you so much!