The size of a TV is given by the length of its diagonal, that is, the distance from one corner of the screen to the opposite corner. If a TV has a width of 36 in. and a height of 15 in., what size is the TV?
To find the size of the TV, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (in this case, the diagonal of the TV) is equal to the sum of the squares of the other two sides (the width and height of the TV).
Let's represent the width as the base of the triangle and the height as the height of the triangle. The diagonal is the hypotenuse.
Using the Pythagorean theorem, we have:
Diagonal^2 = Width^2 + Height^2
Diagonal^2 = 36^2 + 15^2
Diagonal^2 = 1296 + 225
Diagonal^2 = 1521
Taking the square root of both sides, we get:
Diagonal = √1521
Diagonal ≈ 39 inches
Therefore, the size of the TV is approximately 39 inches.