Question

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

Answer 1

pythagorean theorem

Answer 2

what do you know about Pythagorean theorem?

Answer 3

a squared + b squared = c squared

Answer 4

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

Answer 5

and make it equal 180 degrees for a triangle?

Answer 6

square root off is 3.3

Answer 7

I meant square root of 11 is 3.3

Answer 8

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.

Answer 9

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

Answer 10

what?

Answer 11

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

Answer 12

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 ??

Answer 13

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

Answer 14

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?

Answer 15

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

Answer 16

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

Answer 17

right

Answer 18

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

Answer 19

oh I surely did not know that...

Answer 20

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.

Answer 21

what did you think square root meant then?

Answer 22

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

Answer 23

stuff like that

Answer 24

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.

Answer 25

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

Answer 26

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

Answer 27

11 + 5 = 16 therefore it is a right triangle

Answer 28

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

Answer 29

just 16

Answer 30

square root of 16 I know is 4

Answer 31

so what does the pythagorean theorem say?

Answer 32

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

Answer 33

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

Answer 34

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

Answer 35

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

Answer 36

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

Answer 37

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

Answer 38

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