Pythagorean Theorem in 3D - Intro

26 Topics, 3 Skills

Either Missing Length (Radical)

Topic 1

Either Missing Length (Radical)

Topic 2

3D - Double Triangle - Dimensions to Hypotenuse

Topic 3

3D - Double Triangle - Dimensions to Hypotenuse

Topic 4

3D - Double Triangle - Dimensions to Hypotenuse

Topic 5

3D - Double Triangle - Hypotenuse to Dimension

Topic 6

3D - Double Triangle - Hypotenuse to Dimension

Topic 7

3D - Double Triangle - Hypotenuse to Dimension

Topic 8

3D - Prism - Dimensions to Hypotenuse (Full)

Topic 9

3D - Prism - Dimensions to Hypotenuse (Full)

Topic 10

3D - Prism - Dimensions to Hypotenuse (Full)

Topic 11

3D - Prism - Hypotenuse to Dimension (Full)

Topic 12

3D - Prism - Dimensions to Hypotenuse (Half Depth)

Topic 13

3D - Prism - Dimensions to Hypotenuse (Half Depth)

Topic 14

3D - Prism - Hypotenuse to Dimension (Full)

Topic 15

3D - Prism - Dimensions to Hypotenuse (Half Depth)

Topic 16

3D - Prism - Hypotenuse to Dimension (Full)

Topic 17

3D - Prism - Dimensions to Hypotenuse (Half Height, Half Depth)

Topic 18

3D - Prism - Hypotenuse to Dimension (Half Depth)

Topic 19

3D - Prism - Dimensions to Hypotenuse (Half Height, Half Depth)

Topic 20

3D - Prism - Hypotenuse to Dimension (Half Depth)

Topic 21

3D - Prism - Dimensions to Hypotenuse (Half Height, Half Depth)

Topic 22

3D - Prism - Hypotenuse to Dimension (Half Depth)

Topic 23

3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth)

Topic 24

3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth)

Topic 25

3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth)

Topic 26

Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Half Depth) (Level 3)

Topic 23

This math topic focuses on applying the Pythagorean Theorem in three-dimensional contexts to solve problems with prisms, specifically finding the depth. The specific skill practiced is determining the depth when given the hypotenuse to the midpoint of a prism's edge (half depth). Each problem provides different numerical scenarios to help understand the relationship between the hypotenuse and depth dimensions in three dimensions. Scenarios are presented where the hypotenuse value varies, and multiple-choice answers are provided to evaluate the depth.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

View Unit

3D - Prism - Hypotenuse to Dimension (Half Depth)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


The distance from point A to the center point of BC is 14. What is the depth?

ACB146d=?12