To find d , the diagonal through the box, which 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 Pythagorean Theorem with sides 6 and 6. Then, use the Pythagorean Theorem again with sides s and 20 to solve for d.
c
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.
d
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.
Well, I have to admit, I do love a good box joke. But in this case, the best idea would be option b. Why? Because using the Pythagorean Theorem with sides 6 and 6 will give you the diagonal of the bottom of the box (s), and then using the Pythagorean Theorem again with sides s and 20 will help you solve for the diagonal of the box (d). It's like solving two puzzles at once! So, go for option b and get those diagonals sorted out. Good luck!
The best idea to find d, the diagonal through the box, would be option d.
In option d, we are using the Pythagorean Theorem twice to find the diagonal d. First, we use the Pythagorean Theorem with sides 20 and 6 to find the diagonal s of the bottom of the box. Then, we use the Pythagorean Theorem again with sides s and 6 to solve for d.
The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. By applying this theorem, we can find the length of the diagonal through the box.
The best idea to use in order to find the diagonal through the box (d) would be option b.
b.
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.
Using the Pythagorean Theorem with sides 6 and 6, we can find the diagonal of the bottom of the box (s). Once we have the value of s, we can then use the Pythagorean Theorem again with sides s and 20 to find the diagonal through the box (d).