Pythagorean Theorem 3D - Double Triangle - Dimensions to Hypotenuse (Level 1)

This math topic focuses on applying the Pythagorean Theorem in three-dimensional contexts, specifically calculating the hypotenuse in a double triangle setup. It aims to develop spatial visualization skills by extending the familiar two-dimensional Pythagorean Theorem to three-dimensional geometry. The problems require finding the distance between two points which lie in different dimensions, enhancing understanding of geometric concepts in 3D space. The worksheet includes multiple questions with various numerical answer options, designed to aid in the practical application of the theorem in diverse scenarios.

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

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

Math worksheet on 'Pythagorean Theorem 3D - Double Triangle - Dimensions to Hypotenuse (Level 1)'. Part of a broader unit on 'Pythagorean Theorem in 3D - Intro' Learn online: app.mobius.academy/math/units/pythagoras_3d_intro/

1

What is the distance from point A to point D on this pair of triangles?

a

7

b

9

c

8

d

3

e

6

f

5

2

What is the distance from point A to point D on this pair of triangles?

a

6

b

16

c

5

d

13

e

8

f

9

3

What is the distance from point A to point D on this pair of triangles?

a

2

b

8

c

6

d

16

e

3

f

7

4

What is the distance from point A to point D on this pair of triangles?

a

8

b

4

c

6

d

11

e

2

f

3

5

What is the distance from point A to point D on this pair of triangles?

a

9

b

1

c

8

d

14

e

11

f

12