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?
5 cm
6 cm
7 cm
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.