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