The size of a laptop monitor is usually measured along the diagonal. A rectangular monitor is 12 inches long and 7 inches tall.
What is the length of the diagonal of this monitor, to the nearest tenth of an inch?
sqrt(144+49)
thanxx
To find the length of the diagonal of the rectangular monitor, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length and height of the monitor form the two sides of the triangle, and the diagonal is the hypotenuse. Let's call the length of the monitor "l" and the height "h".
Using the Pythagorean theorem, we have:
diagonal^2 = length^2 + height^2
Substituting the given values into the equation:
diagonal^2 = 12^2 + 7^2
diagonal^2 = 144 + 49
diagonal^2 = 193
To find the length of the diagonal, we need to take the square root of both sides of the equation:
diagonal = √193
Using a calculator, we can find that the square root of 193 is approximately 13.8924.
Therefore, the length of the diagonal of this monitor is approximately 13.9 inches (to the nearest tenth of an inch).