The size of a TV is the diagonal length of the TV. Use a Pythagorean triple to find the length of a 20-inch TV, given that its width is 12 inches.(1 point)

inches

1 answer

To find the diagonal length of the TV, we can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides.

In this case, the width of the TV is 12 inches and one of the legs of the right triangle, and the length of the TV is the other leg. Let's assume the length of the TV is x inches.

Using the Pythagorean theorem:
x^2 + 12^2 = 20^2

x^2 + 144 = 400

x^2 = 400 - 144
x^2 = 256

Taking the square root of both sides to solve for x:
x = √256
x = 16

Therefore, the length of a 20-inch TV is 16 inches.