The length of the diagonal of the big-screen TV set is [tex]d\approx 55[/tex] (in).
What is a Pythagoras theorem?
⇒ “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite the angle of 90°
How to find the diagonal of a rectangle if its length and breadth are given?
⇒ We can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w², and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √(l² + w²).
Calculation:
We have been given that The screen is 48 in. wide and 27 in. high.
Here we can use the Pythagoras theorem to find the diagonal of the TV set.
d² = l² + w², (by Pythagoras theorem)
⇒ d = √(l² + w²).
d=√(48² + 27²).
d=√(2304 + 729).
d=√3033
⇒ [tex]d\approx55[/tex]
Hence, The length of the diagonal of the big-screen TV set is [tex]d\approx 55[/tex] (in).
Learn more about Pythagoras' theorem here:
brainly.com/question/343682
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