This math topic focuses on applying the Pythagorean Theorem in three-dimensional contexts, specifically involving calculating distances or dimensions in a 3D space using 'double triangles.' The problems ask for the length of a specific side in a 3D figure given the hypotenuse distance between two points. This is intended for introductory practice in understanding how the Pythagorean Theorem extends to three dimensions, enhancing spatial reasoning and geometry skills.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
3D - Double Triangle - Hypotenuse to Dimension
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
The distance from point A to point D is 6. What is the length of side BC?
Pythagorean Theorem 3D - Double Triangle - Hypotenuse to Dimension Worksheet
| Math worksheet on 'Pythagorean Theorem 3D - Double Triangle - Hypotenuse to Dimension (Level 1)'. Part of a broader unit on 'Pythagorean Theorem in 3D - Intro' Learn online: app.mobius.academy/math/units/pythagoras_3d_intro/ |
1
| The distance from point A to point D is 9. What is the length of side BC? |
a
| 6 |
b
| 11 |
c
| 12 |
d
| 5 |
e
| 4 |
f
| 1 |
2
| The distance from point A to point D is 7. What is the length of side BC? |
a
| 8 |
b
| 12 |
c
| 6 |
d
| 3 |
e
| 2 |
f
| 5 |
3
| The distance from point A to point D is 3. What is the length of side BC? |
a
| 2 |
b
| 6 |
c
| 11 |
d
| 3 |
e
| 10 |
f
| 9 |
4
| The distance from point A to point D is 9. What is the length of side BC? |
a
| 10 |
b
| 2 |
c
| 12 |
d
| 4 |
e
| 6 |
f
| 7 |
5
| The distance from point A to point D is 6. What is the length of side BC? |
a
| 6 |
b
| 4 |
c
| 1 |
d
| 11 |
e
| 2 |
f
| 10 |