the sides of a rectangle are 22cm and 120cm find the lenght of its diogonal
Thank you
Use Pythagorean theorem.
22^2 + 120^2 = diagonal^2
The sides of a rectangle are 22cm and 120cm find the lenght of its diogonal
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem. The Pythagorean 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 diagonal of the rectangle forms the hypotenuse of a right-angled triangle. Let's call the length of one side of the rectangle "a" and the length of the other side "b." The length of the diagonal (hypotenuse) can be denoted as "d."
According to the Pythagorean theorem, we have the equation:
d^2 = a^2 + b^2
Plugging in the values given in the problem, we have:
d^2 = 22^2 + 120^2
Solving this equation will give us the square of the length of the diagonal. To find the actual length of the diagonal, we need to take the square root of this value.
So, the solution would be:
d = √(22^2 + 120^2)
Calculating:
d ≈ √(484 + 14400)
d ≈ √14884
d ≈ 122 cm
Therefore, the length of the diagonal of the rectangle is approximately 122 cm.