Question 620838
Hi, there--
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You can use the Pythagorean Equation {{{a^2+b^2=c^2}}} 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^2+b^2=c^2}}}
{{{(28)^2+b^2=(35)^2}}}
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Simplify and solve for b.
{{{784+b^2=1225}}}
{{{b^2=1225-784}}}
{{{b^2=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(441)}}}
{{{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