How do I calculate the area of ​​a triangle in this case?

ByLukas1726628

How do I calculate the area of ​​a triangle using the following information:

  • Given is a point from which three lines extend at an angle of 120° towards the corners.
  • The distance between the central point and the corner points is given.

Does anyone know the formula for this case or can someone formulate it?

Example values:

Distance center-corner A = 60 cm

Distance center-corner B = 50 cm

Distance center-corner C = 30 cm

Thank you.

(2 votes)
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tunik123
tunik123
1 month ago

If Z is the center and AZ and BZ are given, the triangle AZB has the area content

A_AZB = 1/2 * AZ * BZ * sin(120°).

For the other two triangles, the surfaces are also calculated and then all three are added.

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Lukas1726628
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Lukas1726628
1 month ago
Reply to  tunik123

Great, thanks for the help.

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