DanielWhoseley one year ago in triangle ABC, m<A=60 and m<B=40. which side of triangle ABC IS THE longest?

• This Question is Open
1. lesliemolina

m<a

2. DanielWhoseley

yes

3. calculusxy

To find this answer out you want to find the opposite side of the longest angle. That's the "formula".

4. DanielWhoseley

ok

5. calculusxy

Now do you understand on how to figure this out?

6. lesliemolina

its just m<A=60 trust me im in college i learned this in 9th grade im a reslly smar6 student

7. DanielWhoseley

ok

8. ranga

Find the third angle first. Whichever angle is the biggest the side opposite to that will be the longest.

9. ranga

m<A=60 and m<B=40. Therefore m<C = 180 - 60 - 40 = 80 m<C is the biggest angle. Therefore, the side opposite m<C will be the longest. The side opposite m<C is usually denoted by c. So c is the longest side of the triangle.

10. DanielWhoseley

angle A and C is the longest side

11. ranga

Angle C = 80 > Angle A = 60 > Angle B = 40 Therefore, side c > side a > side b

12. DanielWhoseley

ok thank

13. ranga

you are welcome.

14. DanielWhoseley

two sides of an isosceles triangle measure 3 and 7. which of the following could be the measure of the third side?

15. nikato

so u know an isoscels trianlge must ahve 2 sides that are congrunet. since u have a side that is 3 and another 7. the 3rd side must be either 3 or7

16. DanielWhoseley

yea

17. nikato

yea, thats it

18. DanielWhoseley

the answer is [1] 9 [2] 7 [3] 5 [4] 3

19. nikato

well, it could be either 2 or 4 with all the info u were given

20. DanielWhoseley

ok thanks

21. DanielWhoseley

in triangle ABC, m<=48, and m<c=24. what type of triangle is triangle ABC?

22. nikato

|dw:1388369988615:dw|can u find <B if the total of a triangle is 180

23. DanielWhoseley

ADD 48 AND 24 AND IT GIVE YOU 72

24. DanielWhoseley

IS IT RIGHT

25. nikato

yes, then subtract that from 180. then tell me if that is obtuse or actue

26. DanielWhoseley

obtuse

27. nikato

correct, taht measn triangle ABC is obtuse

28. DanielWhoseley

in the accompanying diagram, BA=BC and m\[\forall <x =117\]

29. nikato

waht diagram

30. DanielWhoseley

|dw:1388374843523:dw|

31. nikato

|dw:1388375062951:dw|so this is what you have. what are u solving for?

32. DanielWhoseley

for Y

33. nikato

|dw:1388375208766:dw|can u solve for that angle if a line=180

34. DanielWhoseley

180-117=63

35. nikato

|dw:1388375443532:dw| y=63 becuz the base angles of an isoscles trinagle are congruent and by vertical angle thoerem thsoe 2 angles are also congruent

36. DanielWhoseley

thank you

37. nikato

38. DanielWhoseley

in triangle ABC, <A is obtuse. which statement is true about the sum of the measure of < B and <C

39. nikato

they must be less than 90

40. DanielWhoseley

thanks

41. DanielWhoseley

given: AB=DE and < A=<D. which of the following methods can be used to prove that angle ABC=DEC?|dw:1388376416947:dw|

42. nikato

|dw:1388376739438:dw|so this is whats given. and can u show me ur choices

43. DanielWhoseley

[1] SAS [2] ASA [3] SSS [4] there is insufficient information to Determine if the triangles are congruent

44. nikato

if this is allt eh info even, then i think is 4

45. DanielWhoseley

at a certain time of the day the shadow of a 5' boy is 8' long. the shadow of a nearby flagpole at this same time is 28 long. how tall is the flagpole?

46. nikato

set up a propertion and solve

47. nikato

|dw:1388377765971:dw|

48. DanielWhoseley

I got 17.5

49. nikato

ok, then that should be the height of the actual flagpole

50. DanielWhoseley

thank

51. DanielWhoseley

Given: AD is congruent to CD, AB=CB prove: angle ABD=angle CBD|dw:1389560316762:dw|

52. nikato

Use SSS becuz BD=BD by reflexive