John is building a coffee table in the shape of a rectangular prism without faces. He wants to add metal diagonal pieces. The length of the table will be 44 inches, width 24 inches and height 14 inches. Find the length John should make each diagonal.
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1 point
44
24
14
52
To find the length of each diagonal piece, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the two sides of the right triangle are the height (14 inches) and the diagonal. Let's call the length of the diagonal "d".
Using the Pythagorean theorem, we can set up the equation:
d^2 = 14^2 + 24^2
Next, let's solve for d:
d^2 = 196 + 576
d^2 = 772
d ≈ 27.86
So, John should make each diagonal approximately 27.86 inches long.
thats not one of the choises
Apologies for the confusion. In that case, let's try using the other two sides of the right triangle.
In this case, the two sides of the right triangle are the length (44 inches) and the diagonal. Let's call the length of the diagonal "d".
Using the Pythagorean theorem, we can set up the equation:
d^2 = 44^2 + 14^2
Next, let's solve for d:
d^2 = 1936 + 196
d^2 = 2132
d ≈ 46.16
So, John should make each diagonal approximately 46.16 inches long.