What is the length of the hypotenuse of a right triangle with legs of lengths 6
Practice Questions
Q1
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
10
12
14
16
Questions & Step-by-Step Solutions
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
Step 1: Identify the lengths of the legs of the right triangle. Here, one leg is 6 and the other leg is 8.
Step 2: Recall the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). This can be written as c² = a² + b².
Step 3: Substitute the lengths of the legs into the formula. Here, a = 6 and b = 8, so we write c² = 6² + 8².
Step 4: Calculate the squares of the legs. 6² = 36 and 8² = 64.
Step 5: Add the squares together. 36 + 64 = 100.
Step 6: To find the length of the hypotenuse (c), take the square root of the sum. So, c = √100.
Step 7: Calculate the square root of 100, which is 10.
Step 8: Therefore, the length of the hypotenuse is 10.
