Question

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.

Answer 1

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

`\:\bf\boxed{Pythagoras\: Theorem\: =>\: c \:= \:√(a²\: +\:b²)}`

=>
`\:\mathtt{\:c \:= \:√((3)²\: +\:(1)²)}`

=>
`\:\mathtt{\: c \:= \:√(9\: +\:1)}`

=>
`\:\mathtt{\: c \:= \:√(10)}`

=>
`\:\mathtt{\: c \:= \:3.16}`

Required nearest tenth number for hypotenuse = 3.2 inches

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