## 28Tylerr 3 years ago Find one area of each triangle. Round intermediate values of the nearest tenth. Ust the rounded values to calcuate the next value. Round your final answer to the nearest tenth. Please help and show work! Drawing Below -->!

1. 28Tylerr

|dw:1337137612703:dw|

2. GOODMAN

Hmm...lol, the drawing is a bit unclear..

3. 28Tylerr

Lol, I know it's kind of hard to read.

4. GOODMAN

|dw:1337041518669:dw|

5. GOODMAN

I dont know where the 2 goes, lol.

6. 28Tylerr

There was no 2 and it was 5.2

7. GOODMAN

|dw:1337041626863:dw|

8. GOODMAN

Like that right?

9. 28Tylerr

Yepp

10. GOODMAN

|dw:1337041674389:dw|

11. GOODMAN

Thers a more clearer version.. As you can see, this looks like an isosceles.

12. 28Tylerr

Ahh, Yes it kinda looks like a triangle split in two

13. GOODMAN

Now..because of this one rule..lol, sorry forgot the rule, but remember its function, but it stated that that line in the middle, i think altitude its called, not sure, that separates the triangle, makes the two halves equal.

14. GOODMAN

So, basically, that means: |dw:1337041876443:dw|

15. 28Tylerr

Ok, Would I use the a2 + b2 = c2 and the a=1/2bh?

16. GOODMAN

Yes..I have found all the necessary lengths, all you need to do is plug it in to your formula.

17. GOODMAN

So.. What is our base?

18. 28Tylerr

Ok, Would it be like this: 7^2 + 7^2 = 5.2^2?

19. GOODMAN

No..wait.

20. 28Tylerr

Or would you add the 2 5.2's to make 10.4?

21. GOODMAN

|dw:1337042106132:dw|

22. GOODMAN

Use Pythagorean Theorem. Our hypotenuse, or "c" is 7 our leg 1 or "a" is 5.2 we need to find leg2 or "h"

23. 28Tylerr

Ok, So how would I set that up?

24. GOODMAN

\[a ^{2}+b ^{2}=c ^{2}\] \[(5.2)^{2}+b ^{2}=7^{2}\] \[27.04+b ^{2}=49\] \[27.04-Subtract \] \[b ^{2}=49-27.04\] \[b ^{2}=21.96\] \[b=4.7\]

25. GOODMAN

Our "b" will substitute as our "h" or height.

26. GOODMAN

|dw:1337042542370:dw|

27. GOODMAN

So, now we have all the components of our triangle. A=1/2bh A=1/2(10.4)(4.7) A=1/2(48.88) A=24.44

28. 28Tylerr

29. GOODMAN

30. 28Tylerr

Mhmmk, can you help me with 1 more like this?

31. GOODMAN

Okay..but I gotta hurry. I have some trig functions, lol.

32. 28Tylerr

|dw:1337140075755:dw|

33. GOODMAN

|dw:1337042863061:dw|

34. GOODMAN

Like that? Is it isosceles as well?

35. 28Tylerr

Yes

36. GOODMAN

Okay, because of the altitude, we can also determine this..|dw:1337042961699:dw|

37. 28Tylerr

Ok

38. GOODMAN

Now.. We have our formula. A=1/2bh Our Base: 16 And our height: 5

39. 28Tylerr

Can you show me some work for that plz on both? (:

40. GOODMAN

A=1/2bh A=1/2(16)(5) A=1/2(80) A=40

41. 28Tylerr

What about for a2 + b2 = c2

42. GOODMAN

We didn't need the Pythagorean Theorem, because we had all the necessary lengths to find the Area.

43. 28Tylerr

Oh ok so all I needed was the Area because

44. 28Tylerr

I had all of the lengths

45. GOODMAN

Yes..but the first one, we needed the height, and we used the Pythagorean Theorem to find it. In this problem, we already had everything we needed to find the Area.

46. 28Tylerr

Ok, I thank you for all of the help Goodman. Hopefully you can help me some more some other time. Thank You (:

47. GOODMAN

No Problem :D Iam glad I helped