Тhe longest side of the right triangle is the hypotenuse.
The third angle of this triangle is 90 - 60 = 30°
The short leg is the side opposite the 30 degree angle.
In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
If the the hypotenuse = 10 inches then the short leg = 10/2 = 5 inches
has critical points where the partial derivatives simultaneously vanish:
So we have three critical points to consider,
,
, and
.
The function has Hessian
At the critical points, we have
which means there is a minimum at (0, 0) of
;
which means
is a saddle point; and
which means
is also a saddle point.
Answer:
.
Step-by-step explanation: