What is the length of the hypotenuse in a right triangle with legs of length 3 c

Practice Questions

Q1
What is the length of the hypotenuse in a right triangle with legs of length 3 cm and 4 cm?
  1. 5 cm
  2. 6 cm
  3. 7 cm
  4. 8 cm

Questions & Step-by-Step Solutions

What is the length of the hypotenuse in a right triangle with legs of length 3 cm and 4 cm?
  • Step 1: Identify the lengths of the two legs of the right triangle. In this case, they are 3 cm and 4 cm.
  • Step 2: Use the Pythagorean theorem formula, which is c = √(a² + b²), where 'c' is the length of the hypotenuse, and 'a' and 'b' are the lengths of the legs.
  • Step 3: Substitute the values of the legs into the formula: c = √(3² + 4²).
  • Step 4: Calculate 3², which is 9, and 4², which is 16.
  • Step 5: Add the results from Step 4: 9 + 16 = 25.
  • Step 6: Take the square root of 25: √25 = 5.
  • Step 7: Conclude that the length of the hypotenuse is 5 cm.
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