television screens are measured along the diagonal. A certain 53 inch television is 45 inches wide. How tall is the television?
Accepted Solution
A:
Because the television forms a right angle where the bottom meets the side, we can use the Pythagorean Theorum to calculate the diagonal. The Pythagorean Theorum states:
a² + b² = c²
In this case, let “a” represent the width, “b” represent the height, and “c” represent the diagonal. Substitute any known values into the equation above:
45² + b² = 53²
Simplify the right and left sides of the equation: