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:
2025 + b² = 2809
Subtract 2025 from both sides of the equation:
b² = 784
Take the square root of both sides:
√b² = √784
Simplify both sides of the equation:
b = 28
The height of the television is 28 inches.
I hope this helps!
