Question

Pythagorean Theorem in Three Dimensions Worksheet Please help!!

Question 4 (1 point)






To find d, the diagonal through the box would be the best idea to use?

a
Find d, the diagonal of the box, using the Pythagorean Theorem with sides 20 and 6. Then, use the Pythagorean Theorem again with sides d and 6 to solve for s.

b
Find s, the diagonal of the bottom of the box, using the Interior Angle Theorem with sides 20 and 6. Then, use the Interior Angle Theorem again with sides s and 6 to solve for d.

c
Find s, the diagonal of the bottom of the box, using the Pythagorean Theorem with sides 20 and 6. Then, use the Pythagorean Theorem again with sides s and 6 to solve for d.

d
Find s, the diagonal of the bottom of the box, using the Pythagorean Theorem with sides 6 and 6. Then, use the Pythagorean Theorem again with sides s and 20 to solve for d.

Answer 1

Option C

Solution: Estimated 21.72

Explanation:

"Find s, the diagonal of the bottom of the box, using the Pythagorean Theorem with sides 20 and 6. Then, use the Pythagorean Theorem again with sides s and 6 to solve for d."

• Remember: we are looking for "s" which is the correlating diagonal.
• Use Pythagorean theorem.

s = √a² + b²

s = √20² + 6²

s ≈ 20.88

• Now, here is where it gets a bit tricky. We have to solve for d using sides s and 6. Luckily, all we have to do is substitute s for 20.88, our estimate.

d = √a² + b²

d = √20.88² + 6²

d ≈ 21.72

• Thus, the diagonal of the box, D, rounds to 21.72 inches.

Hope this helps! Let me know if you have questions.

Answer 2

c

Find s, the diagonal of the bottom of the box, using the Pythagorean Theorem with sides 20 and 6. Then, use the Pythagorean Theorem again with sides s and 6 to solve for d.