Problem on test today

[calvinnn]

There was a question on my math test today and i didnt even understand the problem. I want to see if anyone else knows how to do it. So here it goes:
"Use Calculus to prove which vertex angle an isoseles triange the greatest area"

I think your supposed to find a equation for Area and Perimeter. Then take one of the equations and solve for a variable. Plug it into the next equation and then differentiate, like i would do on optimization problems, but i didnt know how to do it with this problem. Below is the figure given.

[dextercioby]

There was a question on my math test today and i didnt even understand the problem. I want to see if anyone else knows how to do it. So here it goes:
"Use Calculus to prove which vertex angle an isoseles triange the greatest area"

I think your supposed to find a equation for Area and Perimeter. Then take one of the equations and solve for a variable. Plug it into the next equation and then differentiate, like i would do on optimization problems, but i didnt know how to do it with this problem. Below is the figure given.

I'm not sure,there might be more to your problem than what i understood:
S_{triangle} =\frac{k^{2}\sin\theta}{2} ,where k and k are the 2 sides of the isosceles triangle assuled constant and the angle \theta is the angle between the 2 congruent segments.
This of S as a function of only one variable,the angle \theta and use the principle of extremum to find the angle for which the area is maximum.Then find that maximum inserting the value for maxmum in the initial function.

As i said,maybe the problem is more complicated,but for now,try to solve it this way.

Daniel.

[calvinnn]

k thankssss :smile: