SOLUTION: Applications of Pythagorean Theorem and Triples A television has a width: height ratio of 9:3. If the television is advertised as having a 36 inch screen (remember the screen is m

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Question 855960: Applications of Pythagorean Theorem and Triples
A television has a width: height ratio of 9:3. If the television is advertised as having a 36 inch screen (remember the screen is measured as the diagonal), what is the actual height and width of the television? what is the surface area of the screen?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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television has a width: height ratio of 9:3.
If the television is advertised as having a 36 inch screen (remember the screen is measured as the diagonal), what is the actual height and width of the television?
The ratio can be reduced to 3:1
then
3x = the length
and
1x = the width
Pythag
x^2 + (3x)^2 = 36^2
x^2 + 9x^2 = 1296
10x^2 = 1296
x^2 = 1296/10
x^2 = 129.6
x = sqrt%28129.6%29
x = 11.3842" is the width
and
3(11.342) = 34.1526" is the length
:
What is the surface area of the screen?
34.1526 * 11.3842 = 388.80 sq/in