To find the length of the hypotenuse in a right triangle with side lengths 6 and 8, you can use the Pythagorean theorem, which states:
\[ c^2 = a^2 + b^2 \]
where \( c \) is the hypotenuse, and \( a \) and \( b \) are the other two sides.
In this case:
- \( a = 6 \)
- \( b = 8 \)
Using the formula:
\[ c^2 = 6^2 + 8^2 \] \[ c^2 = 36 + 64 \] \[ c^2 = 100 \]
Taking the square root of both sides:
\[ c = \sqrt{100} = 10 \]
Therefore, the length of the hypotenuse is 10.
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