A 20​-in TV set also has a width of 16 inches. What is its​ height?

Question

Television sets. What does it mean to refer to a​ 20-in TV set or a​ 25-in TV​ set? Such units refer to the diagonal of the screen. A 20​-in TV set also has a width of 16 inches. What is its​ height?

What is the height of a 20​-in ​TV? ______ inches

Answer 1

According to the Pythagorean Theorem, a² + b² = c²

That means a² = c² - b² or that a = √(c² - b²)

So in this case H = √(20² - 16²) = √(400 - 256) = √144 = 12 inches