TVs are sized based on the length of their diagonalThe following TV has a length of 17.1 inches and a height of 10.4 inches.What is the TV size?The TV size is __________ inches.
Accepted Solution
A:
Hello!The answer is: The TV size is 20 inches.Why?Since we are looking for the diagonal and we have the dimensions of a rectangle (length and base), we must use the Pythagorean Theorem to find the length of the diagonal.The Pythagorean Theorem states that:[tex]a^{2} =b^{2}+c^{2}[/tex][tex]a=diagonal\\b=lenght\\c=height[/tex][tex]diagonal=\sqrt{lenght^{2} + height^{2}}=\sqrt{17.1^{2} + 10.4^{2}}\\diagonal=\sqrt{292.41 + 106.16}=\sqrt{400.57}=20.01inches=20inches[/tex]So, the TV size is 20 inches.Have a nice day!