We can use the Pythagorean theorem to find the length of the diagonal. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse (diagonal in this case).
Let's call one side of the screen x and the other side y. Therefore, x = 21 ft and y = 20 ft.
According to the Pythagorean theorem:
x^2 + y^2 = diagonal^2
21^2 + 20^2 = diagonal^2
441 + 400 = diagonal^2
841 = diagonal^2
Taking the square root of both sides, we get:
diagonal = √841
diagonal ≈ 29 feet
Therefore, the length of the diagonal is approximately 29 feet. The correct answer is 29 feet.
The dimensions of a screen are 21 ft by 20 ft. Find the length of the diagonal .
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