Question

I haveone more question.
If the lenght of twolegs of a right triangle are: the square root of 3 and the square root of 6 , then the length of the hypotenuse is: ?

Answer 1

Have you seen the equation: a^2+b^2=c^2?

Answer 2

yes

Answer 3

Do you know what a and b represent?

Answer 4

is this the legs

Answer 5

Yep! So then the c represents the hypotenuse. So do you think you would know how to set up the problem?

Answer 6

not with square roots I don't

Answer 7

Well, the square roots (surprisingly) actually makes things a little easier. So we start with our original formula:
a^2+b^2=c^2
And since you said a and b are the legs, we can substitute the measurements you gave:
\[(\sqrt(3))^2+(\sqrt(6))^2=c^2\]

Answer 8

So technically if you square a square root it sort of cancels with one another. So \[(\sqrt(3))^2=3\]

Answer 9

and the same idea for \[(\sqrt(6))^2\] which would equal 6.

Answer 10

So where would you go from there?

Answer 11

would I go 3+6=c which would be c=9

Answer 12

Well technically it would be 3+6=9, so 9=c^2. So then you would take the sqaure root of both sides so you have c=?