(Solved): A right triangle has legs with length \( a=11.187 \) and \( b=13.035 \). (Recall that the Pythagore ...

A right triangle has legs with length \( a=11.187 \) and \( b=13.035 \). (Recall that the Pythagorean Theorem tells us that \( a^{2}+b^{2}=c^{2} \), where \( a \) and \( b \) are the lengths of the legs of a right triangle, and \( c \) is the length of the hypotenuse.) Use R to find the length of the hypotenuse. Type your answer as a decimal, rounded to 3 decimal places.