To find the length of the TV, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Let's use the Pythagorean triple (3, 4, 5) to find the length of the TV. The triple (3, 4, 5) satisfies the Pythagorean theorem, as 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
In this case, the width of the TV (12 inches) represents one side of the right triangle, and the length of the TV represents the other side of the right triangle. The diagonal length of the TV represents the hypotenuse.
Let's assume that the width of the TV (12 inches) represents the shorter side of the right triangle, and the length of the TV is the longer side. In this case, we can set up the equation as follows:
12^2 + length^2 = diagonal^2
Simplifying, we have:
144 + length^2 = diagonal^2
Since we know the size of the TV is 20 inches, we can set diagonal = 20. Plugging this into the equation, we have:
144 + length^2 = 20^2
144 + length^2 = 400
Solving for length^2, we have:
length^2 = 400 - 144
length^2 = 256
Taking the square root of both sides, we have:
length = √(256)
length = 16
Therefore, the length of the 20-inch TV is 16 inches.
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.
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