Using the Pythagorean theorem, we can calculate the length of the hypotenuse of the right-angled triangle to be 12.04 cm.
The image shows a right-angled triangle with two sides labeled 9 cm and 8 cm. The length of the unknown side is the hypotenuse of the triangle.
We can use the Pythagorean theorem to find the length of the hypotenuse. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
So, to find the length of the hypotenuse, we can use the following equation:
hypotenuse^2 = 9^2 + 8^2
hypotenuse^2 = 81 + 64
hypotenuse^2 = 145
hypotenuse = √145
hypotenuse = 12.04 cm
Therefore, the length of the unknown side of the right-angled triangle is 12.04 cm.