Answer :
Using the Pythagorean theorem, the height of the television is approximately 16 inches.
How to Apply the Pythagorean Theorem?
Given the following:
Length of the diagonal of the television = 27 inches
Width of the television = 22 inches.
Height of the television = ?
Using the Pythagorean theorem, we would find the height of the television as shown below:
Height of the television = √(27² - 22²)
Height of the television = √(729 - 484)
Height of the television = √245
Height of the television ≈ 16 inches
Thus, using the Pythagorean theorem, the height of the television is approximately 16 inches.
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The height of the television with a 27-inch diagonal and 22-inch width is approximately 16 inches, calculated using the Pythagorean theorem.
To calculate the height of a television with a known diagonal and width, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In the case of a television, the diagonal is the hypotenuse, and the width and height are the other two sides.
Let's denote the width of the television as w, the height as h, and the diagonal as d. The Pythagorean theorem can be written as:
d² = w² + h²
If the width w is 22 inches and the diagonal d is 27 inches, the equation to find the height h is:
27² = 22² + h²
Solving for h gives:
h² = 27² - 22²
h² = 729 - 484
h² = 245
h = (√{245})
Calculating the square root of 245 to the nearest inch gives us approximately 15.65 inches, which can be rounded to 16 inches for the height of the television.
