Question

Pythagorean theorem in 3D

Answer 1

Answer:

d = 6.997 or 7

Step-by-step explanation:

Use Pythagorean Theorem to find the diagonal of the end of the prism

2^2 + 3^2 = C^2     Simplify

4 + 9 = C^2             Add

13 = C^2                  Take the square root of both sides

3.6 = C

Now plug this into the Pythagorean Theorem equation for the diagonal of the whole prism.

3.6^2 + 6^2 = d^2     Simplify

12.96 + 36 = d^2       Add

48.96 = d^2               Take the square root of both sides

6.997 = d                   This can be rounded up to 7, if needed