If the TV is 5” wider and 3” higher, what is the new diagonal measurement? (Show work)

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

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

Let's assume the original TV has a width of "a" inches and a height of "b" inches.

According to the given information, the TV is now 5 inches wider and 3 inches higher, which means the new width is "a + 5" inches and the new height is "b + 3" inches.

The diagonal of the original TV can be calculated using the Pythagorean theorem:

Original diagonal^2 = a^2 + b^2

Now, we need to find the diagonal of the new TV:

New diagonal^2 = (a + 5)^2 + (b + 3)^2

To find the new diagonal, we need to take the square root of both sides:

New diagonal = √[(a + 5)^2 + (b + 3)^2]

Therefore, the new diagonal measurement is √[(a + 5)^2 + (b + 3)^2].

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