ASA Triangle Calculator (Angle-Side-Angle)

Your details

Choose whether angles are in degrees or radians.
One of the two known angles adjacent to the included side.
°
The side between the two known angles (side c, opposite to angle C).
The second of the two known angles adjacent to the included side.
°
Area
53.1169

Area of the triangle.

Angle C50
Side a11.3052
Side b12.2668
Side c (given)10
Perimeter33.572
Semi-perimeter16.786
Inradius (r)3.1644
Circumradius (R)6.527

Area = 53.1169, a scalene acute triangle.

  • This is a scalene acute triangle.
  • All three angles are less than 90 degrees, so all altitudes land inside the triangle.
  • The inradius is 3.1644 and the circumradius is 6.5270, so the circle that fits inside is about 0.48 times the radius of the one that passes through the vertices.
  • The angles sum to 180 degrees as required: 60 + 70 + 50.0000 = 180.0000 degrees.

Next stepUse the side values with the Law of Cosines to verify your answer, or plug into the SAS or SSS calculator to cross-check.

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