Lesson: The Pythagorean Theorem in 3D Mathematics • 8th Grade
In this lesson, we will learn how to use the Pythagorean theorem to solve problems in three dimensions.
is a cube. Determine the lengths and .
If is a right triangular pyramid, the length of its lateral edge , and its base is right angled at , where and , find the height of the pyramid rounded to the nearest hundredth.
Let be an equilateral triangle of side 96, and a perpendicular to the plane of length 48. Determine the length of the perpendicular from to .