Find the length of the hypotenuse of a right triangle with legs measuring 6 cm and 10 cm using the Pythagorean Theorem.

Sure, here's how you can find the length of the hypotenuse using the Pythagorean Theorem:

Step 1: Understand the Pythagorean Theorem. The 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 lengths of the other two sides. This can be written as: a² + b² = c²

Step 2: Identify the lengths of the two sides of the triangle. In this case, the two sides are 6 cm and 10 cm.

Step 3: Substitute the given values into the Pythagorean theorem. So, you get: (6 cm)² + (10 cm)² = c²

Step 4: Calculate the squares of the two sides: 36 cm² + 100 cm² = c²

Step 5: Add the squares of the two sides: 136 cm² = c²

Step 6: To find c (the length of the hypotenuse), take the square root of both sides of the equation: c = √136 cm

Step 7: Simplify the square root to get the length of the hypotenuse. The square root of 136 is approximately 11.66 cm.

So, the length of the hypotenuse of the right triangle is approximately 11.66 cm.