## JordanBurgett 3 years ago whats an orthocenter of a triangle?

1. Schrodinger

It's the point at which the three altitudes of a triangle intersect. Altitudes are lines which intersect with both the vertex of a triangle and the middle of the side of the triangle opposite to that vertex, as shown in this diagram:|dw:1331594454196:dw|

2. Schrodinger

So, the orthocenter would appear as so in an equilateral triangle:|dw:1331594531392:dw|

3. AccessDenied

not quite sure i agree with the definition of altitude you provided... The altitude is a line drawn from one vertex of the triangle to the line containing the opposite side that is perpendicular to the line i.e. |dw:1331594718807:dw|.

4. Schrodinger

That's pretty much exactly what I said, XD.

5. Schrodinger

Oh, nope, you're right. My bad.

6. JordanBurgett

thank you whats an isosceles triangle look like? and this is the question being asked: if <A = 94 which would be true <B = 94 or <B = 47 or AB = BC or AB = AC? Can you help

7. AccessDenied

an isosceles triangle is a triangle with two sides exactly the same length like: |dw:1331595007721:dw| the question referring to an isosceles triangle?

8. JordanBurgett

thank you that helped alot :)

9. AccessDenied

well, if we're talking about an isosceles triangle, and we have one 94 degree angle, can we have another 94 degree angle? (Triangle interior angle sum th. may help here)

10. JordanBurgett

which of the following could not be the dimensions of a triangle? A. 1.9,3.2,4 C. 3,7.2,7.5 B.1.6,3,4.6 D. 2.6,.5,6

11. AccessDenied

Have you heard of the triangle inequality theorem?

12. JordanBurgett

yeah but i dont remember what it is exsactly

13. AccessDenied

it basically says, if we add together two sides, it should always be greater than the remaining side so, for your problem, we'd use it three times for each problem. We want to go through all possible combinations of sums. mathematically, we'll denote it (for three sides a, b, and c) as a + b > c, b + c > a, and a + c > b Ex) Your first part, 1.9,3.2,4 1.9 + 3.2 > 2.4, 3.2 + 4 > 1.9, and 1.9 + 4 > 3.2 These all must come out as true statements. 5.1 > 2.4 (true), 7.2 > 1.9 (true), and 5.9 > 3.2 (true!) So, this set of lengths will work for a triangle.

14. AccessDenied

hmm, that should not be 2.4, that should be 4. Sorry! It would still be true for 4, tho.

15. JordanBurgett

okay thank you

16. JordanBurgett

so b could not be a triangle be1.6 + 3 is equal to 4.6 not >?

17. AccessDenied

nope. if they're equal... then you will have this |dw:1331596667012:dw|

18. JordanBurgett

thank you :) you have been a great help

19. AccessDenied

No problem! I am glad to help! :)

20. JordanBurgett

what does it mean when it says: What is the correct relationship between the angle measures of triangle PQR? answer choices are : F. m<R < m<Q < m<P G. m<R < m<P < m<Q H. m<Q < m<P < m<R J. m<P < m<Q < m<R Side lengths are: PQ= 10 cm QR= 15 cm RP= 13 cm Can anyone explain? I am confused!

21. AccessDenied

This deals with a property of triangles that says that the largest side is across from the largest angle, and similarly the smallest side is opposite the smallest angle. If you made a diagram (not to scale)... |dw:1331599617470:dw|

22. JordanBurgett

thank you I was miss reading the answers I had thought it was J but now I see it is F

23. AccessDenied

yep, F would be correct. :)

24. JordanBurgett

thanks whats an integer

25. AccessDenied

An integer is a number in the set of all whole numbers and their opposites... Like, -1, -6, 1, 5, and 0 are all integers. Integers do NOT include decimals, radicals that cannot simplify, and fractions that do not simplify.

26. JordanBurgett

27. AccessDenied

Yep, 7 is an integer. The counting numbers (1, 2, 3, 4, and so on), 0, and the negatives of those counting numbers (-1, -2, -3, -4, and so on) would be all integers

28. JordanBurgett

thanks

29. JordanBurgett

suppose two lines intersect in a plane to form four angles. What do you know about the pairs of adjacent angles formed? Exsplain. I know that 1=3 and 4=2 and in the picture given 1>4 and 3>2 but I dont know how to exsplain that......

30. AccessDenied

I don't have the picture, but I imagine you got 1=3 and 2=4 from vertical angles... we're looking at adjacent angles, the angles next to each other...

31. JordanBurgett

yeah 1 is obtuse and so is 3

32. JordanBurgett

i just dont know how to explain it

33. AccessDenied

i think, rather than observing the angles themselves, you should look at each of these pairs of angles as whole units: |dw:1331601403645:dw| Specifically, the sum of the adjacent angles

34. JordanBurgett

so that they equal 180?

35. AccessDenied

Yeah. The adjacent angles at the intersection of two lines add up to 180. The proper math term for this is that these angles are "supplementary"

36. JordanBurgett

okay now i have came across a confusing one I am particually bad at story problems. Here it goes: Eric and Heather are each taking a group pf campers hiking in the woods. Eric's group leaves camp and goes 2 miles east, then turns 20 degrees south of east and goes 4 miles. Heather's group leaves camp and travels 2 miles west, then turns 30 degrees north of west and goes 4 miles. How many degrees south of east would Eric have needed to turn in order for his group and Heather's group to be the same distance from camp after the two legs of the hike?

37. JordanBurgett

|dw:1331602372991:dw|

38. AccessDenied

i personally feel it should have been 30 degrees, but i feel like i may be misreading the question

39. JordanBurgett

I think it has something to deal with sin cos or tan but i dont remember how to do those.

40. JordanBurgett

41. AccessDenied

I guess a valid reasoning would be something more like... |dw:1331608341053:dw|

42. Schrodinger

Man, props to AccessDenied for shelling out answers like a machine. Nice job on helping him, I wish I could give you a medal for every single individual question you answered.

43. JordanBurgett

i know AccessDenied helpped me alot but I am a girl....

44. JordanBurgett

I was helping a friend I have not had a math class for an entire year so I am a bit rusty and its geometry on top of that

45. Schrodinger

I'm using "him" as a generic term for addressing anyone. Apologies for not knowing your gender, though i'm not sure what you would expect me to know it based on.

46. JordanBurgett

oh I am not offended judt thought I would let you know for future refernce you helped me earlier as well so thank you

47. AccessDenied

im always glad to help! :D now i just gotta go do my own homework, haha.

48. JordanBurgett

thats what I am now working on lol

49. JordanBurgett

let me know if i can help you because you have helped me so much I would like to return the favor

50. AccessDenied

well, its pretty easy stuff im working on.. just some biology and finishing one problem on geometry