Problema Solution
The length of a video screen is 21 feet shorter than its height. If the diagonal of the screen is 39 feet, find the height of the screen.
Answer provided by our tutors
Let
h = height of the screen
h - 21 = the length of the screen
d = 39 ft the diagonal of the screen
Using the Pythagorean Theorem we have:
h^2 + (h - 21)^2 = d^2
h^2 + (h - 21)^2 = 39^2
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click here to see the equation solved for h
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h = 36 ft
We need to ignore the negative solution -15 since the height can not be negative.
The height of the screen is 36 feet.