A right-angled triangle has two shorter sides measuring 6.5 cm and 8.2 cm.What is the length of the unknown side to the nearest 2 decimal places?A. 10.46 cmB. 14.70 cmC. 26.65 cmD. 109.49 cm

The unknown side of a right-angled triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Here are the steps to solve the problem:

Step 1: Identify the lengths of the two shorter sides. In this case, they are 6.5 cm and 8.2 cm.

Step 2: Apply the Pythagorean theorem, which is a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the other two sides.

Step 3: Substitute the given values into the formula: (6.5)^2 + (8.2)^2 = c^2.

Step 4: Calculate the squares: 42.25 + 67.24 = c^2.

Step 5: Add the results: 109.49 = c^2.

Step 6: Take the square root of both sides to solve for c: c = √109.49.

Step 7: Calculate the square root of 109.49, which is approximately 10.46 to the nearest two decimal places.

So, the length of the unknown side (the hypotenuse) is approximately 10.46 cm. Therefore, the answer is A. 10.46 cm.