Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
6. Use the Pythagorean Theorem
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Exercise 16 Page 429

We are given the following rectangular prism.

The rectangular prism

The segment with the length of millimeters is the diagonal of the rectangular prism. We are asked to find the value of Let's start by taking a closer look at the diagram!

The The rectangular prism with the right triangle marked
Notice that the interior diagonal makes a right triangle with the height and the diagonal of the base as its legs. If we know these values, we will be able to use the Pythagorean Theorem to find the length of the diagonal. We know that the height of the prism is millimeters, but we do not know the length of the diagonal of the base. Let's consider the base of our prism.