For this case we have that by definition, the Pythagorean theorem states that:
[tex]c ^ 2 = a ^ 2 + b ^ 2[/tex]
Where:
c: It is the hypotenuse of the right triangle
a, b: They are the legs of the triangle
According to the data of the statement we have:
[tex]c = 45 \ in\\b = 36 \ in[/tex]
We have to:
[tex]a ^ 2 = c ^ 2-b ^ 2\\a = \sqrt {c ^ 2-b ^ 2}\\a = \sqrt {45 ^ 2-36 ^ 2}\\a = \sqrt {2025-1296}\\a = \sqrt {729}\\a = 27 \ in[/tex]
So, the height of the TV is [tex]27 \ in[/tex]
Answer:
[tex]27 \ in[/tex]
