Tom is buying a 42 inch plasma HD 1080p tv, which is on sale for 40% off. If the aspect ratio for this widescreen is 16:9 and the frame around the screen is 1 inch wide, will it fit in the entertainment center he bought for $753 if its opening is 36in by 24in? ****remember that tvs are measured diagonally.****
PLEASE HELP

Question

Tom is buying a 42 inch plasma HD 1080p tv, which is on sale for 40% off. If the aspect ratio for this widescreen is 16:9 and the frame around the screen is 1 inch wide, will it fit in the entertainment   center he bought for $753 if its opening is 36in by 24in? ****remember that tvs are measured diagonally.****
PLEASE HELP

amistre64 · Answer

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define d

amistre64 · Answer

im assuming the aspect ratio defines the sides

anonymous · Answer

how did you get the triangle?

anonymous · Answer

and its $$\sqrt{337}$$

amistre64 · Answer

16 to 9 is the aspect ratio .... so itll have to serve as the bases for our similar traingles

anonymous · Answer

okay

amistre64 · Answer

then our scalar is 42/sqrt(337)  to get to 42

amistre64 · Answer

16*42/sqrt(337) + 1 + 1 for framing is our width

9*42/sqrt(337) + 1 + 1 for framing is our height

anonymous · Answer

scalar?

amistre64 · Answer

yeah, the factor that you scale by to size similar triangles

anonymous · Answer

im confused

amistre64 · Answer

does sqrt(337) = 42?

anonymous · Answer

no, $$\sqrt{337}\approx18.36$$

amistre64 · Answer

then we have to "scale" this ratio up by k; such that:  k sqrt(337) = 42, since the actual screen has a 42 diagonal
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