# Calculus

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The hypotenuse od a right triangle is 12cm in lenht. Calculate the measures of the unknown angle in the triangle that will maximize its perimeter?

I got the formula P= 12(1 + sin0 + cos0) and A= 12sin0cos0, but i don't know what to do next.

• Calculus -

let T be the angle (one of them)
dP/dT = 12(0 + cos T -sin T) =0 for max
so
cos T = sin T
45 degrees.

• Calculus -

How did you guys get those formulas I have the same question and I have no idea how to start it

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