If the diagonal of a television screen is 20 inches and the width is 16 inches, what is the height of the screen?

Answer 1

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For this problem, you’ll want to use the Pythagorean Theorem, a² + b² = c², where c is the hypotenuse (diagonal in this problem), and a and b are the other two sides (width and height, doesn’t matter which you use for each a and b).

Next, we can plug in the two given values (16 for a and 20 for c). Then we’ll solve for the missing one (which represents the height).

a² + b² = c²

(16)² + b² = (20)²

256 + b² = 400

-256 -256

b² = 144

√b² = √144

b = 12

So, the height is 12 inches.

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