To find the length of each diagonal, we can use the Pythagorean Theorem. The diagonal will form a right triangle with the length, width, and height as its sides.
Let's calculate the diagonal using the Pythagorean Theorem:
Diagonal squared = Length squared + Width squared + Height squared
Diagonal squared = 44^2 + 24^2 + 14^2
Diagonal squared = 1936 + 576 + 196
Diagonal squared = 2708
Now, let's find the square root of the diagonal squared to get the diagonal length:
Diagonal = √2708
Diagonal ≈ 52.0 (rounded to the nearest tenth)
So, the length Keysha should make each diagonal approximately 52.0 inches.
Hey Bot I need your help again?
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)
The answer I got was 52.0
1 answer