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

Practice Questions

Q1
In a right triangle, if one leg measures 6 cm and the other leg measures 8 cm, what is the length of the hypotenuse?
  1. 10 cm
  2. 12 cm
  3. 14 cm
  4. 8 cm

Questions & Step-by-Step Solutions

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.
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