Question

A. x = 24 sqrt 3, y = 8

B. x = 8, y = 24 sqrt 3

C. x = 24, y = 8 sqrt 3

D. x = 8 sqrt 3, y = 24

Answer 1

I am so confused. Thought I was on the right track with

16 sqrt 3= sqrt 2 times x

16 sqrt 3 - x sqrt 2

x= 16 sqrt 3/sqrt 2

Answer 2

But then it doesnt make sense

Answer 3

do you know what special triangle this is?

Answer 4

no

Answer 5

it's a 30-60-90 triangle...
what makes this special is that the shortest side is always half of the hypotenuse.
the other leg is always (shortest side) times (square root 3)...

Answer 6

I was barking up the wrong tree completely. So I guess it would be C ????

Answer 7

or perhaps I have it backwards?

Answer 8

With the explanation ByteMe provided, I am thinking it is C ????
@ByteMe @Directrix

Answer 9

@Joshyface The 30-leg (shorter leg) is 1/2 the hypotenuse so the 30-leg is 1/2 of 16sqrt(3) = 8sqrt(3).

Then, the 60-leg (longer leg) is sqrt(3) times the 30-leg.
So, sqrt(3) times 8sqrt(3) = 3 * 8 = 24 which is what you thought all along.

Answer 10

THANK YOU! I second guess myself even after I think I get it =(

Answer 11

Alrighty, then, @Joshyface Take a look at the attachments I posted above to help your refresh your memory on the 30-60-90 theorem.