What is the length of the hypotenuse in a right triangle with legs of lengths 3
Practice Questions
Q1
What is the length of the hypotenuse in a right triangle with legs of lengths 3 and 4?
5
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Questions & Step-by-Step Solutions
What is the length of the hypotenuse in a right triangle with legs of lengths 3 and 4?
Step 1: Identify the lengths of the two legs of the right triangle. In this case, the lengths are 3 and 4.
Step 2: Use the Pythagorean theorem formula, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). The formula is c² = a² + b².
Step 3: Substitute the lengths of the legs into the formula. Here, a = 3 and b = 4, so we have c² = 3² + 4².
Step 4: Calculate the squares of the legs. 3² = 9 and 4² = 16.
Step 5: Add the squares together. 9 + 16 = 25.
Step 6: To find the length of the hypotenuse, take the square root of the sum. √25 = 5.
Step 7: Therefore, the length of the hypotenuse is 5.
