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belka [17]
4 years ago
12

How to find side length given angle and 2 sides non right triangle?

Mathematics
1 answer:
makvit [3.9K]4 years ago
8 0
I assume you mean, that an angle and two sides are known.

A formula that can be used for irregular triangles is the cosine rule.
a =  {b}^{2}  +  {c}^{2}  - 2ab \cos(angle \: opposite \: a)
'b' and 'c' must be sides that are beside the angle 'A' (angle opposite 'a').
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3 years ago
How do I solve this, please help
Bas_tet [7]

9514 1404 393

Answer:

  • EF = DE = 44
  • FG = DG = 36
  • FH = DF = 31

Step-by-step explanation:

Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.

  DE = EF

  (9x -1) = (7x +9)

  2x = 10 . . . . . . . add 1-7x

  x = 5 . . . . . . . . . divide by 2

__

Similarly, marked sides GD and GF are the same length, so ...

  GD = GF

  (10y -4) = (7y +8)

  3y = 12 . . . . . . . . . . add 4-7y

  y = 4 . . . . . . . . . divide by 3

__

Now, we have what we need to calculate the side lengths.

  EF = 7x+9 = 7·5 +9 = 44

  DE = 9x-1 = 9·4 -1 = 44

  FG = 7y+8 = 7·4 +8 = 36

  DG = 10y-4 = 10·4 -4 = 36

  FH = 3x+4y = 3·5 +4·4 = 31

  DF = FH = 31

6 0
3 years ago
PLEASE HELP ME I NEED HELP THIS IS IMPORTANT PLEASE HELP I WILL GIVE YOU BRAINLIEST IF YOU ANSWER I JUST NEED SOMEONE TO ANSWER
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Answer:

54

Step-by-step explanation:

divide 162 by 3 because thats the number each term is being multiplied by.

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