In a right triangle, if one leg measures 6 cm and the other leg measures 8 cm, w

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

Options:

Correct Answer: 10 cm

Solution:

Using the Pythagorean theorem, c² = a² + b². Here, c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm.

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

In a right triangle, if one leg measures 6 cm and the other leg measures 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: Write down the Pythagorean theorem formula, which is c² = a² + b². Here, 'c' is the hypotenuse, and 'a' and 'b' are the legs.
Step 3: Substitute the values of the legs into the formula. So, we have c² = 6² + 8².
Step 4: Calculate 6², which is 36.
Step 5: Calculate 8², which is 64.
Step 6: Add the results from Step 4 and Step 5. So, 36 + 64 = 100.
Step 7: Now, take the square root of 100 to find 'c'. So, c = √100.
Step 8: Calculate the square root of 100, which is 10 cm. This is the length of the hypotenuse.

Pythagorean Theorem – The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).