If the length of rectangular television screen is 24 inches and its height is 18 inches, what is the length of its diagonal in inches?

If the length of rectangular television screen is 24 inches and its height is 18 inches, what is the length of its diagonal in inches?

Question
If the length of rectangular television screen is 24 inches and its height is 18 inches, what is the length of its diagonal in inches?

Answers (1)

2020-10-28
The diagonal of a rectangle forms a right triangle with the two dimensions of the rectangle. If xx is the diagonal (hypotenuse), then by Pythagorean Theorem,
\(\displaystyle{24}^{{2}}+{18}^{{2}}={x}^{{2}}\)
\(\displaystyle{576}+{324}={x}^{{2}}\)
\(\displaystyle{900}={x}^{{2}}\)
\(\displaystyle{x}=√{900}\)
PSKx=30→30 inches
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