To find the length of each diagonal, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs (sides adjacent to the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).
In this case, the diagonal is the hypotenuse, and the length and width of the table form the legs of the right triangle.
Using the Pythagorean theorem:
Length of diagonal = √(length^2 + width^2)
= √(44^2 + 24^2)
= √(1936 + 576)
= √(2512)
= 50.12 inches
Therefore, Keysha should make each diagonal approximately 50.12 inches long.
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 answer
1 answer