You can put this solution on YOUR website! 35 inches is the diagonal.
If it's an older TV, the ratio of height to width is 3 to 4. That makes a 3, 4, 5 right angle.
The height is 3/5 of the diagonal
(3/5)*35 = 21 inches.
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If it's a newer model, the ratio is 16 to 9, making the diagonal
messier
So 35:sqrt(337)::ht:9
ht = 35*9/sqrt(337)
ht =~ 17.16 inches
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The newer 16:9 TVs have a smaller viewing area than the older ones with the same diagonal. The pictures are sharper, tho.