Question 218124
A 20 in (on the diagonal) TV has a width of 16 in. What is the height?


Step 1. We can use the Pythagorean Theorem to solve this problem where the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse (the diagonal in this case).  We also note that the diagonal of a rectangle divides into two right triangles.


Step 2. Let w=16 be the width and h be the height.


Step 3. Using the Pythagorean Theorem we have 


{{{20^2=16^2+h^2}}}


{{{400=196+h^2}}}


Subtract 196 to both sides of the equation


{{{400-196=h^2}}}


{{{204=h^2}}}


Take the square root to both sides of the equation


{{{sqrt(204)=sqrt(h^2)=h}}}


{{{h=14.28}}} inches


Step 4. ANSWER:  The height is 14.28 inches.


I hope the above steps and explanation were helpful. 


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Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.


Respectfully, 
Dr J


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