In a right triangle, \( a \) and \( b \) are the lengths of the legs and \( c \) is the length of the hypotenuse. If \( a=1.4 \) feet and \( b=6 \) feet, what is \( c \) ? If necessary, round to the nearest tenth. \( c= \)

To find the hypotenuse \( c \) in a right triangle, we can use the Pythagorean theorem, which states that \( c^2 = a^2 + b^2 \). Plugging in the given values: \[ c^2 = (1.4)^2 + (6)^2 = 1.96 + 36 = 37.96 \] Now, take the square root of both sides to find \( c \): \[ c = \sqrt{37.96} \approx 6.2 \] So, rounded to the nearest tenth, \( c \approx 6.2 \) feet.