the length of the prism is 32 cm the width od 24 cm the height is 44 sm and the length od the diagonal of the base segment BH is 40 cm find the length of the diagonal of the rectangular prism segment BH. Round the answer to the nearest tenth

1 answer

To find the length of the diagonal of the rectangular prism segment BH, we can use Pythagoras' theorem.

Let's label the length of the diagonal of the rectangular prism segment BH as d.

In the base segment BH, the length (b) is given as 24 cm, width (w) as 32 cm, and the diagonal (h) as 40 cm.

Using Pythagoras' theorem, we have: h^2 = b^2 + w^2.

Substituting the given values, we have: 40^2 = 24^2 + 32^2.

Simplifying, we get: 1600 = 576 + 1024.

Combining like terms, we have: 1600 = 1600.

Since the equation is true, it confirms that we have calculated correctly.

Therefore, the length of the diagonal of the rectangular prism segment BH is 40 cm.