## Falling_In_Katt one year ago WILL MEDAL <RST is an equilateral triangle; TX is perpendicular to RS. If TX = 6 then RX =

1. Falling_In_Katt

2. Falling_In_Katt

A.3 B.$2\sqrt{3}$ C.$6\sqrt{3}$ D.12

3. anonymous

TRX is a 30°-60°-90° right triangle. The hypotenuse is twice the side opposite 30° The side opposite 60° is √3 times times the side opposite 30° |dw:1435250702555:dw|

4. anonymous

You have the 60° side and want the 30° side. any ideas on how to get it?

5. Falling_In_Katt

No...

6. anonymous

|dw:1435251177610:dw|

7. Falling_In_Katt

I don't understand...

8. anonymous

you have a 30-60-90 triangle. All 30-60-90 triangles are similar, which means all their sides have the same proportional relationships. The relationships are generally defined from the 30° side, which I used the letter "a" for in the picture. Multiply the 30° side by 2 to get they hypotenuse (that's why the hypotenuse is "2a") Multiply the 30° side by √3 to get the 60° side (the 60° side is "a√3"). Your problem gives you a 60° side and asks for the 30° side. so instead of multiplying by √3, you need to divide by it.

9. Falling_In_Katt

$2\sqrt{3}$

10. anonymous

yes

11. Falling_In_Katt

Oh Thank you!