Find the height of a right prism with base-rhombus.

Question

The base of a right prism is a rhombus. Find the height of the prism, if its diagonals are d1 and d2.

And the side of the rhombus is a – J. Doe May 28 '18 at 16:36 — J. Doe, May 28 '18 at 16:36

score 0 · Accepted Answer · answered May 28 '18 at 16:41

0

The hint.

Let $h$ be an altitude of the prism.

Thus, $$\left(\frac{\sqrt{d_1^2-h^2}}{2}\right)^2+\left(\frac{\sqrt{d_2^2-h^2}}{2}\right)^2=a^2.$$

answered May 28 '18 at 16:41

Michael Rozenberg

1 Answers1