In a right triangle, if one leg is 6 cm and the other leg is 8 cm, what is the l

In a right triangle, if one leg is 6 cm and the other leg is 8 cm, what is the length of the hypotenuse?

In a right triangle, if one leg is 6 cm and the other leg is 8 cm, what is the length of the hypotenuse?

Step 1: Identify the lengths of the two legs of the right triangle. One leg is 6 cm and the other leg is 8 cm.
Step 2: Recall the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two legs (a and b). This can be written as: c^2 = a^2 + b^2.
Step 3: Substitute the lengths of the legs into the formula. Here, a = 6 cm and b = 8 cm, so we have: c^2 = 6^2 + 8^2.
Step 4: Calculate the squares of the legs. 6^2 = 36 and 8^2 = 64.
Step 5: Add the squares together: 36 + 64 = 100.
Step 6: To find the length of the hypotenuse, take the square root of the sum: c = √100.
Step 7: Calculate the square root of 100, which is 10.
Step 8: Therefore, the length of the hypotenuse is 10 cm.

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