If a right triangle has legs of lengths 6 and 8, what is the length of the hypot

If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?

If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?

Step 1: Identify the lengths of the legs of the right triangle. Here, one leg is 6 units and the other leg is 8 units.
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 legs (a and b). The formula is c^2 = a^2 + b^2.
Step 3: Substitute the lengths of the legs into the formula. So, we have c^2 = 6^2 + 8^2.
Step 4: Calculate the squares of the legs. 6^2 = 36 and 8^2 = 64.
Step 5: Add the squares together. So, 36 + 64 = 100.
Step 6: To find the length of the hypotenuse, 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 units.

Pythagorean Theorem – The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.