KE8717504 3 years ago A sailboat sail is triangular with a height 10ft greater than it's base. If the sails area is 72 sq ft, find it's base and height.

1. completeidiot

did you try drawing a picture?

2. Algebraic!

what's the area of a triangle in terms of height and base?

3. completeidiot

actually you dont really need a picture A=1/2b*h

4. KE8717504

Ok so what's next?

5. Algebraic!

so you have an equation for b and h

6. Algebraic!

you need one more equation, since you have two unknowns.

7. KE8717504

Ok..

8. Algebraic!

"a height 10ft greater than it's base." try to write an equation based on that statement

9. KE8717504

I have no clue lol

10. KE8717504

i get lost on these problems

11. Algebraic!

if b is 6 what is h?

12. KE8717504

10

13. Algebraic!

because 10 is 10 more than 6?

14. KE8717504

yes

15. Algebraic!

what's 6 plus 10

16. KE8717504

16

17. Algebraic!

so 16 is 10 more than 6

18. Algebraic!

if b=6 h=16

19. Algebraic!

if b=7 h=?

20. KE8717504

16

21. KE8717504

?

22. Algebraic!

because 16 is 10 more than 7...

23. KE8717504

so my answer is 7, 16

24. Algebraic!

this was fun.

25. KE8717504

the computer again said that was wrong?

26. KE8717504

??

27. Denebel

|dw:1347073516029:dw|

28. KE8717504

29. KE8717504

for the base and heig

30. KE8717504

t?

31. Denebel

You have to solve for x.

32. KE8717504

X(x+10) / 2??

33. KE8717504

now?

34. Agent47

35. Denebel

$72=\frac{ 1 }{ 2 }x(x+h)$ Do you know how to solve for x?

36. KE8717504

Yes but it comes out to be like a square root.. I'm not stupid or anything

37. Algebraic!

prove it.

38. KE8717504

prove what?

39. Algebraic!

wow.

40. KE8717504

Um excuse me Mrs. wrong answer giver Algebraic I can block u also...

41. Denebel

Ok, what did you do so far?

42. KE8717504

when I divided the equation u told me to divide i got 2 big square roots

43. Denebel

? Can you show me the steps? Draw or write it out.

44. KE8717504

I'm not even sure if i worked it right? I put it in my calcuator

45. Denebel

If you don't mind me asking, what math are you taking?

46. KE8717504

Intermediate.

47. Denebel

Is there a particular subject? On the cover of your textbook? Have you learned about distribution?

48. Denebel

Also, how did you type x(x+10) in your calculator...

49. KE8717504

Have u ever used a graphing calucator?? u can type that in to that

50. completeidiot

what did you get for a base?

51. KE8717504

Yes the particular subject is intermediate math i believe i said that

52. KE8717504

I don't even know now people are making me mad on here tonight

53. completeidiot

well assuming you have a graphing calculator i put down (1/2)(x(x+10))-72 find when y=0 and got x=8

54. KE8717504

ok

55. completeidiot

sorry for above shouldve check this sooner

56. KE8717504

huh?

57. Denebel

|dw:1347075231860:dw|

58. KE8717504

duh ok i already knew that.... ...... but is that my base or height????

59. Denebel

It's nothing, you have to solve for x first. It's just an equation so you find your base and height.

60. KE8717504

Ok did i just not solve this same one though?

61. Denebel

Which other equation did you solve?

62. KE8717504

I thought i just solved this one

63. KE8717504

x=-18,8 ???? is that right

64. completeidiot

well the base cant be negative so just x=8

65. Denebel

Measurements of an object can be negative. |dw:1347075538826:dw|

66. KE8717504

so my base is 8 and my height is -18???

67. Algebraic!

so much fail.

68. KE8717504

what?

69. Denebel

Oops typo there, I mean CAN'T

70. KE8717504

Denebel u have me lost...

71. completeidiot

the height was 10 more than the base if the base if 8 8+10 =18 case closed

72. KE8717504

so my base is 18 and my height is 10?

73. Denebel

@completeidiot Also has to satisfy A=72

74. completeidiot

no... base is 8 height is 18...... 8*18=144 144/2=72 GAHHHHHHHH

75. Denebel

Oops sorry My brain is wacked. I typed it in my calculator wrong.

76. Denebel

LOL Yes @KE8717504 , completeidiot is correct

77. KE8717504

THANK YOU SO MUCH @completeidiot

78. KE8717504

@Denebel i'm starting to wonder if u know what ur doing.. and u are very confusing.