To find the length of each diagonal, we can use the Pythagorean theorem.
First, let's find the length of the diagonal for the rectangle formed by the length and width of the table.
Using the Pythagorean theorem, we have:
diagonal^2 = length^2 + width^2
diagonal^2 = 44^2 + 24^2
diagonal^2 = 1936 + 576
diagonal^2 = 2512
diagonal ≈ √2512
diagonal ≈ 50.12 in. (rounded to the nearest tenth)
Now, let's find the length of the diagonal for the rectangle formed by the width and height of the table.
Using the Pythagorean theorem, we have:
diagonal^2 = width^2 + height^2
diagonal^2 = 24^2 + 14^2
diagonal^2 = 576 + 196
diagonal^2 = 772
diagonal ≈ √772
diagonal ≈ 27.8 in. (rounded to the nearest tenth)
Finally, let's find the length of the diagonal for the rectangle formed by the length and height of the table.
Using the Pythagorean theorem, we have:
diagonal^2 = length^2 + height^2
diagonal^2 = 44^2 + 14^2
diagonal^2 = 1936 + 196
diagonal^2 = 2132
diagonal ≈ √2132
diagonal ≈ 46.2 in. (rounded to the nearest tenth)
Therefore, Keysha should make each diagonal approximately 50.1 in., 27.8 in., and 46.2 in. (rounded to the nearest tenth) for the length, width, and height diagonals, respectively.
Keysha is building a coffee table. It's going to be in the shape of a rectangular prism, without the faces. She wants to make the table decorative by adding metal diagonals. The length of the coffee table will be 44 in., the width 24 in., and the height 14 in. Find the length Keysha should make each diagonal. Round the answer to the nearest tenth. (1 point)
5 answers
Whats the answer?
Keysha should make each diagonal approximately 50.1 in., 27.8 in., and 46.2 in. (rounded to the nearest tenth) for the length, width, and height diagonals, respectively.
Its only 1 correct answer
Apologies for the confusion. The correct answer is 50.1 inches.