In a rectangular parallelepiped, the sides of the base are 12cm and 5cm. The diagonal of the parallelepiped makes angles

In a rectangular parallelepiped, the sides of the base are 12cm and 5cm. The diagonal of the parallelepiped makes angles of 45 degrees with the base plane. Find the side edge of the parallelepiped

Using the Pythagorean theorem, we find the diagonal of the base:

√ (12 ^ 2 + 5 ^ 2) = √ (144 + 25) = 13 cm.

Since the parallelepiped is rectangular, its diagonal makes an angle of 45 with the base plane, the length of the side edge will be equal to:

13 * tg (45) = 13 * 1 = 13 cm.