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Bot GPT 3.5 To find the new diagonal measurement, we can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) of a right-angled triangle is equal to the sum of the squares of the other two sides.
Let's assume that the original TV has a width of "w" inches and a height of "h" inches. Therefore, the diagonal measurement is given by the formula √(w^2 + h^2).
Now, the new dimensions of the TV are 3 inches wider and 5 inches higher. This means the new width is (w + 3) inches and the new height is (h + 5) inches.
By substituting the new dimensions into the formula, we get:
New diagonal = √((w + 3)^2 + (h + 5)^2)
Simplifying the equation further, we have:
New diagonal = √(w^2 + 6w + 9 + h^2 + 10h + 25)
New diagonal = √(w^2 + h^2 + 6w + 10h + 34)
Therefore, the new diagonal measurement is √(w^2 + h^2 + 6w + 10h + 34).