Two sides of a triangle are 8 and 7 . Find the size of the angle $\theta$ (in radians) formed by the sides that will maximize the area of the triangle.
The size of the angle $\theta$ (in radians) that will maximize the area of the triangle is (Type an exact answer, using $\pi$ as needed)

Step 1 ：Given that two sides of a triangle are 8 and 7, we need to find the size of the angle $\theta$ (in radians) formed by the sides that will maximize the area of the triangle.

Step 2 ：The area of a triangle with sides of length a and b, and the angle between them being $\theta$, is given by the formula: Area = $0.5 * a * b * \sin(\theta)$

Step 3 ：We want to maximize this area. The maximum value of the sin function is 1, which occurs at $\theta = \frac{\pi}{2}$. Therefore, the area of the triangle is maximized when $\theta = \frac{\pi}{2}$

Step 4 ：Final Answer: The size of the angle $\theta$ (in radians) that will maximize the area of the triangle is \(\boxed{\frac{\pi}{2}}\)