In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 inches and b=1 inch, what is c? If necessary, round to the nearest tenth.

We are given with
a = 3 inches
b = 1 inch
and c = ?
So as it is a right triangle and a and b are for legs
also c is for hypotenuse
=> We can apply Pythagoras theorem
[tex]\:\bf\boxed{Pythagoras\: Theorem\: =>\: c \:= \:\sqrt{a²\: +\:b²}}[/tex]
=> [tex]\:\mathtt{\:c \:= \:\sqrt{(3)²\: +\:(1)²}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{9\: +\:1}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{10}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:3.16}[/tex]
Required nearest tenth number for hypotenuse = 3.2 inches
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━