## anonymous one year ago the length of the hypotenuse of a 30 60 90 triangle is 7. find the perimeter

1. Zale101

What is 30-60-90 triangle as ratios?

2. anonymous

what do you mean?

3. anonymous

hello?

4. Zale101

|dw:1433470180649:dw|

5. Zale101

2x= is the hypotenuse x=shortest side x*$$\sqrt{3}$$= other side

6. Zale101

What is the hypotenuse based off of your question?

7. anonymous

7

8. Zale101

|dw:1433470414864:dw|

9. Zale101

|dw:1433470453328:dw|

10. Zale101

2x= Hypotenuse so 2x=7 makes sense?

11. anonymous

yes

12. anonymous

so x is 3.5

13. Zale101

Yes! :) and x=shortest side so what is the shortest side? :)

14. anonymous

3.5

15. Zale101

Bravo!

16. Zale101

|dw:1433470603128:dw| Where is 3.5 in here?

17. anonymous

like i understand that but my answer choices are written weird, ill show you

18. Zale101

Okay

19. anonymous

a.7/2+21/2 sqrt 3 b. 21+7 sqrt 3 c. 7+21 sqrt 3 d.21/2 + 7/2 sqrt 3

20. Zale101

Your question is looking for the perimeter and the perimeter is when you add all the sides of the shape. We are looking for the sides of the triangle when the hypotenuse is 7 |dw:1433470973918:dw|

21. Zale101

|dw:1433471021623:dw|

22. Zale101

Your choices are written in a way of the result of finding the perimeter.

23. anonymous

ohh okok

24. Zale101

|dw:1433471207953:dw| What is the length of the bottom of the leg, we know the leg is $$x*\sqrt{3}=bottom~~leg$$

25. anonymous

3.5 sqrt 3

26. Zale101

Yes :)

27. Zale101

Hypotenuse=7 right side leg= 3.5 bottom leg=3.5* sqrt(3)

28. Zale101

How do you solve the perimeter now, what do you do?

29. anonymous

30. anonymous

@Zale101

31. Zale101

yep, you got it now

32. anonymous

i still dont understand how that turns out to be one of the answer choices though @zale101

33. Zale101

$$\LARGE \frac{7}{2}+7+\frac{7}{2}\sqrt{3}$$ this is your perimeter But if we add $$\large\frac{7}{2}+7$$ $$\Large\frac{7}{2}+\frac{7}{1}=\frac{7+14}{2}=\frac{21}{2}$$ So, we will end up with $$\LARGE \frac{21}{2}+\frac{7}{2}\sqrt{3}$$ as your simplified perimeter

34. Zale101

a.7/2+21/2 sqrt 3 b. 21+7 sqrt 3 c. 7+21 sqrt 3 d.21/2 + 7/2 sqrt 3 <-------- Your Perimeter was hidden here (but simplified )