Question

Why is the answer D for question #33?

Answer 1

The diagonal of the square base = one side of the base × square root (2)
This is because the angle between 2 sides of a square is 90, and since the diagonal is the hypotenuse of a triangle formed by 1/2 of the square. So by the Pythagorean Theorem:

`{diagonal}^(2) = {side }^(2) + {side}^(2) \\ {diagonal}^(2) = 2 * {side }^(2) \\ \sqrt{({diagonal}^(2))} = \sqrt{(2 * {side }^(2))} \\ diag. = √(2) * \sqrt{{side}^(2)} = side √(2)`
therefore 230​√​2 = 230×1.41 = 325
So D) 320 is the closest to 325

Answer 2

its asking for the diagonal (hypotenuse), and you're given the sides.


`{230}^(2) + {230}^(2) = {c}^(2)`
the exact answer is 325 something,

so D is correct