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.

In a right triangle a and b are the lengths of the legs and c is the length of the hypotenuse If a3 inches and b1 inch what is c If necessary round to the neare class=

Respuesta :

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

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