SOLUTION: Television sets. What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to diagonal of the screen. A 35-in TV set also has a width of 28 inches. What is i

Algebra ->  Systems-of-equations -> SOLUTION: Television sets. What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to diagonal of the screen. A 35-in TV set also has a width of 28 inches. What is i      Log On


   

Question 620838: Television sets. What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to diagonal of the screen. A 35-in TV set also has a width of 28 inches. What is its height?
What is the height of a 35-inTV? ____ inches
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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You can use the Pythagorean Equation a%5E2%2Bb%5E2=c%5E2 to solve this problem.
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The height, width and diagonal of the television set form a right triangle. The width and height are the legs of the triangle. The diagonal is the hypotenuse.
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Let a be the width of the triangle.
Let b be the height of the triangle.
Let c be the hypotenuse of the triangle
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Substitute the values you know (a=28 and c=35) in the Pythagorean Equation.
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a%5E2%2Bb%5E2=c%5E2
%2828%29%5E2%2Bb%5E2=%2835%29%5E2
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Simplify and solve for b.
784%2Bb%5E2=1225
b%5E2=1225-784
b%5E2=441
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Find the square root of both sides of the equation. The square root of b-squared is b.
b=sqrt%28441%29
b=21
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In the context of this problem, b=21 means that the height of the television is 21 inches.
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Hope this helps. Feel free to email me if you have questions about this solution.
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Ms.Figgy
math.in.the.vortex@gmail.com