The dimensions of a screen are 21 ft by 20 ft. Find the length of the diagonal .
16 feet
18 feet
29 feet
34 feet
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.
To find the length of the diagonal of the screen, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the dimensions of the screen form the two legs of a right triangle. Let's label the length as a = 21 ft and the width as b = 20 ft.
Using the Pythagorean theorem:
diagonal^2 = a^2 + b^2
diagonal^2 = 21^2 + 20^2
diagonal^2 = 441 + 400
diagonal^2 = 841
Taking the square root of both sides, we get:
diagonal = √841
diagonal = 29 ft
Therefore, the length of the diagonal of the screen is 29 feet.
So the correct answer is 29 feet.