Find the length of the diagonal of the prism. height is 12 sides are 3 and 4 the diangles is going from the top corner to the oppisite bottom corner
To find the length of the diagonal of the prism, we can imagine the prism as a rectangular solid, where the height is the height of the prism and the sides are the lengths of the sides of the rectangular base.
Let's consider the height of the prism as one of the longer sides of the rectangular solid, so the height is 12.
The sides of the rectangular base are given as 3 and 4. To find the length of the diagonal of the rectangle, we can use the Pythagorean theorem.
The diagonal of the rectangle is the hypotenuse of a right triangle with sides 3 and 4. Using the Pythagorean theorem: diagonal^2 = 3^2 + 4^2.
diagonal^2 = 9 + 16 = 25
diagonal = sqrt(25) = 5
Therefore, the length of the diagonal of the prism is 5.