Solving Applications Using the Pythagorean Theorem
Susan wants to purchase a 47\displaystyle {47} inch TV. She is told that this measurement refers to the diagonal of the TV. She also knows the length of the TV is 40.89\displaystyle {40.89} inches.

Figure A is a diagram of the information Susan knows.
Figure A

47 in40.89 in
Susan wants to know if the TV will fit in her entertainment center, but first she needs to know the height of the TV.

What is the height of the TV Susan is thinking about purchasing ?

  in
Round your result to two decimal places as needed.
If the space in her entertainment center is 25.03\displaystyle {25.03} inches high and 44\displaystyle {44} inches long, will the TV fit in her entertainment center?

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