Pythagorean Theorem 3D - Double Triangle - Hypotenuse to Dimension (Level 3)

This math topic focuses on applying the Pythagorean Theorem in three-dimensional contexts, specifically examining scenarios involving double triangles where students calculate lengths from known hypotenuse measurements. There are several questions where students are given the distance between two points in 3D space and they must determine the length of one of the side dimensions. Each question provides multiple-choice answers. This subject serves as part of an introduction to the broader concept of the Pythagorean Theorem in 3D geometric contexts.

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

Pythagorean Theorem 3D - Double Triangle - Hypotenuse to Dimension Worksheet

Math worksheet on 'Pythagorean Theorem 3D - Double Triangle - Hypotenuse to Dimension (Level 3)'. 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 12. What is the length of side BC?

a

6

b

11

c

16

d

8

e

17

f

2

2

The distance from point A to point D is 15. What is the length of side BC?

a

2

b

9

c

8

d

17

e

10

f

4

3

The distance from point A to point D is 15. What is the length of side BC?

a

9

b

10

c

4

d

14

e

15

f

16

4

The distance from point A to point D is 14. What is the length of side BC?

a

6

b

5

c

3

d

9

e

2

f

10

5

The distance from point A to point D is 15. What is the length of side BC?

a

5

b

1

c

6

d

3

e

4

f

9