With the given lengths would this be a right triangle? (square root symbols)
√11 yds, √5 yds, 16yds

- anonymous

With the given lengths would this be a right triangle? (square root symbols)
√11 yds, √5 yds, 16yds

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- anonymous

pythagorean theorem

- anonymous

what do you know about Pythagorean theorem?

- anonymous

a squared + b squared = c squared

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## More answers

- anonymous

then why don't you try the combination and see if they satisfy the theorem.

- anonymous

and make it equal 180 degrees for a triangle?

- anonymous

square root off is 3.3

- anonymous

I meant square root of 11 is 3.3

- anonymous

huh? why are you making the problem more complicated than it is?
They have given you lengths of the three sides of a triangle. All they want to know is if the triangle is a right angled triangle.
The way to find out if a triangle is right angled or not is to see if its sides satisfy the pythagorean theorem.
That is it. Don't try and make it harder for yourself.

- anonymous

ok so two square roots and one is not... therefore no

- anonymous

what?

- anonymous

\[(\sqrt{11})^{2}+(\sqrt{5})^{2} = ?\]

- anonymous

Ok I'm not sure... but I came up with 6.6 + 4.4 = 11
by definition: the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. So again I would say this is not a right triangle ??

- anonymous

yes, you are right. It is not a right angle triangle.

- anonymous

was that right how I did the calculations tho? took square root of 11 times it by two .... the same for square root of 5 times by two and then add ... was that number supposed to add up to 16? to make it a right triangle?

- anonymous

wait...3.3 squared plus 2.2 squared =
10.89 + 4.84 = 15.73 thats close to 16

- anonymous

square root of 4 is 2. that means 2 times 2 is 4.
that means
\[\sqrt{4} \times \sqrt{4} = 4\]

- anonymous

right

- anonymous

so \[(\sqrt{11})^{2} = \sqrt{11} \times \sqrt{11} = 11\]

- anonymous

oh I surely did not know that...

- anonymous

the very fact that you are squaring square roots of a number means that you will get the number within the square root.
That is the definition of square root.

- anonymous

what did you think square root meant then?

- anonymous

I don't know... I do know the square root of 81 is 9...

- anonymous

stuff like that

- anonymous

yes, square root of 81 is 9.
that means that 9 times 9 is 81.
similarly square root of 3 is 1.73205081
that means that 1.73205081 times 1.73205081 is 3.

- anonymous

instead of calling it square root everytime,
we write it is \[\sqrt{3}\]

- anonymous

yes I know... not sure how to do symbols on line

- anonymous

11 + 5 = 16 therefore it is a right triangle

- anonymous

what is the third side? is it 16 or square root(16)

- anonymous

just 16

- anonymous

square root of 16 I know is 4

- anonymous

so what does the pythagorean theorem say?

- anonymous

I'm confused...... I already said it... I just dont know if these numbers are supposed to add up to something or have all perfect numbers from the roots? UGGGH

- anonymous

or the two square roots equal 16? Please be patient with me....

- anonymous

\[(\sqrt{11})^{2} + (\sqrt{5})^{2} = 16 \neq 16^{2}\]

- anonymous

I'm ready to pull my hair out!!!

- anonymous

Thank you. That makes sense... that was the part I wasnt sure of.

- anonymous

Here is another one....
(√7)2 + (√2)2 = 9 does not equal √9
Not a right triangle

- anonymous

Got it and thank you for your help!!!!!

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