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Mathematics 16 Online
Comerpickles:

http://prntscr.com/iq9y6d

Comerpickles:

@dude

Shadow:

This problem is regarding the rules of Special Right Triangles. Do you remember them?

Comerpickles:

I think so

Shadow:

Can you list the rules for me?

Shadow:

Let me know if you don't know them

Comerpickles:

1st one is that one triangle is a 90-degree triangle?

Comerpickles:

And the hypotenuse will always be across the top

Shadow:

|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.

Shadow:

|dw:1520884116885:dw|

Shadow:

30 - 60 - 90 Triangle Rule |dw:1520884156297:dw| 45 - 45 - 90 Triangle Rule |dw:1520884229318:dw|

Comerpickles:

So x = ??

Shadow:

Look at triangle RST. What is the 'x' of that triangle?

Shadow:

We know that it is a 30-60-90 triangle, so what side is that 60 angle looking at?

Comerpickles:

2?

Shadow:

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?

Comerpickles:

Okie, thanks. And just quickly, am I right? http://prntscr.com/iqa7lk

Comerpickles:

Last one

Shadow:

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.

Shadow:

eggs, lol. *legs

Comerpickles:

Oh so its 4 okie

Comerpickles:

How about that last one?

Shadow:

That is correct.

Comerpickles:

Okie, thanks

Comerpickles:

Passed, thank you

Shadow:

No problem

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