## anonymous one year ago NEED HELP ASAP The perimeter of an equilateral triangle is 12 feet. Find the area of the triangle. 8√3 8 4√3

1. anonymous

If it is equilateral, it means it has the same sides. How many sides are there in a triangle?

2. anonymous

|dw:1438134600087:dw| How many sides are there in a triangle?

3. anonymous

Are you there or do you just want the answer?

4. anonymous

3 sides in a triangle

5. anonymous

Good! So the whole triangle is 12. Now, divide 12 by 3. What is$12\div3=?$

6. anonymous

4

7. anonymous

Okay so all sides are 4.|dw:1438134827253:dw|

8. anonymous

What is the formula for the area of a triangle?

9. anonymous

yes. but how do i find the area?

10. anonymous

bh/2

11. anonymous

It is bh/2.

12. anonymous

|dw:1438134925446:dw|

13. anonymous

Notice that we don't know the height. So we will use the Pythagorean Theorem. Are you familiar with that?

14. anonymous

okay. so the of the triangle would be $2\sqrt{3}$

15. anonymous

height

16. anonymous

How did you get that?

17. anonymous

pythagorean theorem

18. anonymous

Can you show me how?

19. anonymous

Nevermind.

20. anonymous

We will take longer. x_x

21. anonymous

|dw:1438135119198:dw|

22. anonymous

i know its a bit sloppy

23. anonymous

So the equation will be.|dw:1438135187194:dw|

24. anonymous

so the answer is $4\sqrt{3}$

25. anonymous

right?

26. anonymous

Yes! Good job!

27. anonymous

thank you so much

28. anonymous

YOU did it yourself. :D

29. anonymous

so how would i do it with a 30 60 90 triangle? @mathway

30. anonymous

|dw:1438135520158:dw|

31. anonymous

Are you familiar with the 30-60-90 special angle?

32. anonymous

yes

33. anonymous

Wait are you finding the area for the 30-60-90 triangle?

34. anonymous

yes

35. anonymous

Use the Pythagorean Theorem.

36. anonymous

and the its still bh/2

37. anonymous

The area of the triangle we a while ago was a 30-60-90 triangle. :D

38. anonymous

okay thanks

39. anonymous

Can I see the problem?