In a regular truncated pyramid, the sides of the bases are 25 and 15 cm. Find a side rib if it forms

In a regular truncated pyramid, the sides of the bases are 25 and 15 cm. Find a side rib if it forms an angle of 45 degrees with the base.

Since the pyramid is correct, then the upper and lower bases are squares.

From this condition, we find the diagonals of the upper base:

√ (15 * 15 + 15 * 15) = 15√2, we find half – 7.5√2.

We also define the diagonal of the upper base:

√ (25 * 25 + 25 * 25) = 25√2, we find half – 15.5√2.

The difference between them is equal to the length of the height of the truncated pyramid, since the lateral rib forms an angle of 45 degrees with the base. That is, the height of the truncated pyramid is also 8.

Now we calculate the side edge: √ (8 * 8 + 8 * 8) = 8√2.

Answer: 8√2