Question
if a television is advertised as having a 30 inch screen and a hight of 18 inches what is the width
Answers
GPT 3.5
To find the width of the television, we can use the Pythagorean theorem.
Let's label the width as "w" and use a right triangle to represent the dimensions of the television. The hypotenuse of the triangle represents the diagonal length of the screen, which is 30 inches. The height is labeled as "18 inches".
According to the Pythagorean theorem, the square of the hypotenuse (30 inches) is equal to the sum of the squares of the other two sides (width and height).
Using this information, we can set up the equation:
w^2 + 18^2 = 30^2
Simplifying the equation:
w^2 + 324 = 900
Subtracting 324 from both sides:
w^2 = 900 - 324
w^2 = 576
Taking the square root of both sides:
w = sqrt(576)
w = 24
Therefore, the width of the television is 24 inches.
Let's label the width as "w" and use a right triangle to represent the dimensions of the television. The hypotenuse of the triangle represents the diagonal length of the screen, which is 30 inches. The height is labeled as "18 inches".
According to the Pythagorean theorem, the square of the hypotenuse (30 inches) is equal to the sum of the squares of the other two sides (width and height).
Using this information, we can set up the equation:
w^2 + 18^2 = 30^2
Simplifying the equation:
w^2 + 324 = 900
Subtracting 324 from both sides:
w^2 = 900 - 324
w^2 = 576
Taking the square root of both sides:
w = sqrt(576)
w = 24
Therefore, the width of the television is 24 inches.
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