Keysha is building a coffee tableIt's going to be in the shape of a rectangular prism, without the faces She wants to make the table decorative by adding metal diagonalsThe 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
To find the length of each diagonal, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the diagonal forms a right triangle with two sides of the rectangular prism. Let's call the length of the diagonal D.
Using the Pythagorean theorem, we have:
D^2 = 44^2 + 24^2 + 14^2
Simplifying,
D^2 = 1936 + 576 + 1960
D^2 = 4472
Taking the square root of both sides,
D ≈ 66.93
So, Keysha should make each diagonal approximately 66.93 inches long.