http://prntscr.com/iq9y6d
@dude
This problem is regarding the rules of Special Right Triangles. Do you remember them?
I think so
Can you list the rules for me?
Let me know if you don't know them
1st one is that one triangle is a 90-degree triangle?
And the hypotenuse will always be across the top
|dw:1520884062170:dw| Whenever there is a box in the angle of a triangle, it means that it is 90 degrees. The hypotenuse is also the side that is opposite to the 90 degree angle.
|dw:1520884116885:dw|
30 - 60 - 90 Triangle Rule |dw:1520884156297:dw| 45 - 45 - 90 Triangle Rule |dw:1520884229318:dw|
So x = ??
Look at triangle RST. What is the 'x' of that triangle?
We know that it is a 30-60-90 triangle, so what side is that 60 angle looking at?
2?
Correct. \[60 degrees \rightarrow x \sqrt3\] \[60 degrees \rightarrow 2 \sqrt 3\] The x of angle RST is 2. Now, how does that help us solve for the x of QRT?
Last one
Hold on we didn't answer this one yet. Look at the side that both the triangles share. The 30 - 60 - 90 rule says that the hypotenuse is 2x. Therefore we know that that the hypotenuse has a length of 4. The 45-45-90 rule says that both of its legs are x. Since the side is the same, we know that x for QRT is 4, since both the eggs are the same length.
eggs, lol. *legs
Oh so its 4 okie
How about that last one?
That is correct.
Okie, thanks
Passed, thank you
No problem
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