Question

WANT A MEDAL?
Solve for x. If necessary, round your answer to the nearest hundredth.

Answer 1

My answer came out to 2.82 but it's not right so how do I solve this?

Answer 2

If I'm not mistaken, this is a 30-60-90 triangle. That means the longer leg (or x) = 2(length of the shortest leg, or 2).

Answer 3

wait, so x would be equal to 2 times the length of the shortest leg on the triangle?

Answer 4

Yep :)
If this is a 30-60-90 triangle (which I'm pretty certain it is), all you need is one side length to find the other two side lengths.

Answer 5

Use Pythagorian theorem : x²+2²=(2sqrt(3))²

Answer 6

Or you could use the Pythagorean theorem like @math&ing001 suggested. Though the 30-60-90 formula is faster and simpler

Answer 7

\[2\sqrt{3} = 3.5\]

That would be correct right? Unless because the problem says to round to the nearest hundredths then it would be
\[2\sqrt{3} = 3.46\]

That solves the square root part then 2 squared is 4

Answer 8

No, you multiplied the hypotenuse with the shortest leg. Multiply the two legs

Answer 9

\[x ^{2} + 4 = 3.46^{2}\]
\[x ^{2} + 4 = 12\]
This is how I was taught do it is that not right?

Answer 10

\[x ^{2} + 4 - 4 = 12 - 4\]
\[x ^{2} = 8\]
\[\sqrt{x ^{2}} = \sqrt{8}\]
\[x = 2.82\]

I think I was right....

Answer 11

am I right @JackofallTradez

Answer 12

Nope