c

6.1
1.3




























What is the length of the hypotenuse? If necessary, round to the nearest tenth.

1 answer

To find the length of the hypotenuse in a right triangle when you know the lengths of the two legs (which are 6.1 and 1.3 in this case), you can use the Pythagorean theorem:

\[ c = \sqrt{a^2 + b^2} \]

where \(a\) and \(b\) are the lengths of the legs, and \(c\) is the length of the hypotenuse.

Plugging in the values:

\[ c = \sqrt{(6.1)^2 + (1.3)^2} \] \[ c = \sqrt{37.21 + 1.69} \] \[ c = \sqrt{38.90} \] \[ c \approx 6.24 \]

Rounding to the nearest tenth, the length of the hypotenuse is approximately 6.2.