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Answer :
The width of the screen is approximately 57.06 inches.
To find the width of the screen, we can use the Pythagorean Theorem, which is suitable for right-angled triangles.
The formula is:
[tex]c^2 = a^2 + b^2[/tex]
Here, c is the diagonal of the television (59 inches) and a is the height of the television (15 inches). We need to find b, the width of the television.
First, rearrange the formula to solve for b:
[tex]b = \sqrt{c^2 - a^2}[/tex]
Now, substitute the known values into the equation:
[tex]b = \sqrt{59^2 - 15^2}[/tex]
Calculate the squares of 59 and 15:
[tex]59^2 = 3481[/tex]
[tex]15^2 = 225[/tex]
Subtract these values:
[tex]3481 - 225 = 3256[/tex]
Finally, take the square root of 3256 to find the width b:
[tex]b = \sqrt{3256} \approx 57.06[/tex]
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