The sides of a rectangles are 22 cm and 120 cm respectively. Find the length of its diagonal.
use the Pythagorean theorem ... √(22^2 + 120^2)
122
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the rectangle are given as 22 cm and 120 cm. Let's denote the length as 'a' and the width as 'b'.
Using the Pythagorean theorem, you can write the equation as follows:
a^2 + b^2 = diagonal^2
Substituting the given values, the equation becomes:
22^2 + 120^2 = diagonal^2
Calculating the squares:
484 + 14400 = diagonal^2
14884 = diagonal^2
To find the length of the diagonal, you need to take the square root of both sides of the equation:
diagonal = √14884
Using a calculator, you can find that the square root of 14884 is approximately 122.
Therefore, the length of the diagonal of the rectangle is approximately 122 cm.