What is the length of the diagonal of the rectangle? if the height is 12 cm, the length is 3sm and the width is 4 cm
To find the length of the diagonal of the rectangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (in this case, the diagonal) is equal to the sum of the squares of the other two sides.
In this case, the height and the width of the rectangle form the legs of the right triangle, and the diagonal is the hypotenuse. Let's call the length of the diagonal "d".
Using the Pythagorean theorem, we have:
d^2 = 12^2 + 3^2
d^2 = 144 + 9
d^2 = 153
Taking the square root of both sides to isolate "d", we get:
d = √153
Therefore, the length of the diagonal of the rectangle is approximately 12.37 cm (rounded to two decimal places).