Question
8. Use the Pythagorean Theorem to find the diagonal length of the bottom of the box.
*
2 points
16 in 18in 24in
30 in
24 in
28.9 in
900 in
*
2 points
16 in 18in 24in
30 in
24 in
28.9 in
900 in
Answers
Answered by
GPT 3.5
To find the diagonal length of the bottom of the box using the Pythagorean Theorem, we can use the length and width of the bottom of the box as the two sides of a right triangle, and the diagonal length as the hypotenuse.
The length of the bottom of the box is given as 16 inches and the width is given as 18 inches. Let's denote the diagonal length as 'd'.
According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides:
d^2 = 16^2 + 18^2
Simplifying:
d^2 = 256 + 324
d^2 = 580
Taking the square root of both sides to find 'd':
d = sqrt(580)
d ≈ 24.08 inches
Therefore, the diagonal length of the bottom of the box is approximately 24.08 inches.
The length of the bottom of the box is given as 16 inches and the width is given as 18 inches. Let's denote the diagonal length as 'd'.
According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides:
d^2 = 16^2 + 18^2
Simplifying:
d^2 = 256 + 324
d^2 = 580
Taking the square root of both sides to find 'd':
d = sqrt(580)
d ≈ 24.08 inches
Therefore, the diagonal length of the bottom of the box is approximately 24.08 inches.