## anonymous one year ago Referring to the figure, find the value of a. Then find the value of B.

1. anonymous

|dw:1434567057383:dw|

2. anonymous

Medal and fan

3. anonymous

In a 30-60-90 triangle, the side opposite the 30 degree angle is always half of the hypotenuse.

4. anonymous

Is there a formula that I can use?

5. anonymous

$\large SL=\frac{1}{2}H$ $\large SL=Small~Leg$$\large H=Hypotenuse$

6. anonymous

So the hypotenuse is 5. Right?

7. anonymous

Right

8. anonymous

so a=2.5?

9. anonymous

Correct

10. anonymous

$\large LL=SL\sqrt{3}$$\large SL=Short~Leg$$\large LL=Long~Leg$

11. anonymous

$2.5\sqrt{3}$

12. anonymous

yep. That'd be it

13. anonymous

it would be 4.33..... Is that B?

14. anonymous

Yes, that's b

15. anonymous

Thanks

16. anonymous

$\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile$