Hi everyone. I've got a problem I can't solve and would love some help.
In an isosceles triangle, give an exact answer to the angle x, so that the area of the triangle is maximized. The angle x is adjacent to the base of the triangle.
Hi everyone. I've got a problem I can't solve and would love some help.
In an isosceles triangle, give an exact answer to the angle x, so that the area of the triangle is maximized. The angle x is adjacent to the base of the triangle.
Hello Burger kingYou haven't said so, but I assume that the lengths of the equal sides remain constant as varies. If this is so, then let's assume that they are of length . Then:
Height of triangle =
Base of triangle =
So area of triangle,
Now you can use the identity , and say
And has a maximum value of when .
So there's your answer, .
Grandad