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Answer :
Using the Pythagorean theorem to calculate the height of the television with a known diagonal and width, we find the height to be approximately 42.16 inches.
The question asks us to find the height of a television given the diagonal length and the width. We can approach this problem using the Pythagorean theorem because the dimensions of the television form a right triangle.
We are given:
Diagonal (d) = 80 inches
Width (w) = 68 inches
Let's call the height of the television 'h'. According to the Pythagorean theorem, we have:
d^2 = w^2 + h^2
Plugging in the values we have:
80^2 = 68^2 + h^2
6400 = 4624 + h^2
1776 = h^2
h = \\sqrt{1776}
h ≈ 42.16 inches
Therefore, the height of the television is approximately 42.16 inches.
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