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?



**do i just multiply them**

No. This is like finding the hypotenuse of a right triangle.

a^2 + b^2 = c^2

7^2 + 12^2 = c^2

NO!!!

hypotenuse
sqrt(12^2+7^2)
= sqrt(144+49)

i got 14 is this correct

That's the nearest whole number. The length is close to 13.9

close. I get 13.89244399

which to the nearest tenth as requested is
13.9 inches

To find the length of the diagonal of a rectangular monitor, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square 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 rectangle form the two sides of the right triangle, and the diagonal is the hypotenuse. So, to find the length of the diagonal, you can use the formula:

diagonal^2 = length^2 + height^2

Substituting the given values:

diagonal^2 = 12^2 + 7^2
diagonal^2 = 144 + 49
diagonal^2 = 193

To find the length of the diagonal, you need to take the square root of both sides of the equation:

diagonal = √193
diagonal ≈ 13.9 inches (rounded to the nearest tenth)

So, the length of the diagonal of this monitor is approximately 13.9 inches.