A right triangle has side lengths of 8 inches and 6 inches. What is the length of the hypotenuse, in inches?

To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states:

[ c^2 = a^2 + b^2 ]

where ( c ) is the length of the hypotenuse, and ( a ) and ( b ) are the lengths of the other two sides.

In this case, the lengths of the sides are 8 inches and 6 inches.

1. Plug in the values:

[ c^2 = 8^2 + 6^2 ]

[ c^2 = 64 + 36 ]

[ c^2 = 100 ]

2. Now take the square root of both sides to find ( c ):

[ c = sqrt{100} ]

[ c = 10 ]

So, the length of the hypotenuse is 10 inches.