Question

the pythagorean theorem states that in a right triangle, the square of the is equal to the sum of the squares of the other two sides. when moving into three - dimensions, we often deal with prisms. to find the distance between two points in three - dimensional space, you use the formula. the pythagorean theorem is extended into three dimensions to calculate the length of a inside a rectangular prism.

Explanation:

1. The Pythagorean Theorem relates to the hypotenuse of a right - triangle.
2. In 3 - D, rectangular prisms are common.
3. The distance formula in 3 - D space is used for point - to - point distance.
4. The diagonal of a rectangular prism is found by extending the Pythagorean Theorem.

Answer:

1. hypotenuse
2. rectangular
3. distance
4. diagonal