Triangle calculator ASA
Acute scalene triangle.
Sides: a = 247.7099088639 b = 183.7087504454 c = 184Area: T = 16828.83331473
Perimeter: p = 615.4176593093
Semiperimeter: s = 307.7088296546
Angle ∠ A = α = 84.7° = 84°42' = 1.47882938764 rad
Angle ∠ B = β = 47.6° = 47°36' = 0.83107767239 rad
Angle ∠ C = γ = 47.7° = 47°42' = 0.83325220532 rad
Height: ha = 135.8765782675
Height: hb = 183.2133344466
Height: hc = 182.9222099427
Median: ma = 135.8765956106
Median: mb = 197.9166104698
Median: mc = 197.7122214831
Inradius: r = 54.69108657847
Circumradius: R = 124.3866333436
Vertex coordinates: A[184; 0] B[0; 0] C[167.0310829895; 182.9222099427]
Centroid: CG[117.0110276632; 60.97440331423]
Coordinates of the circumscribed circle: U[92; 83.71435589124]
Coordinates of the inscribed circle: I[124.0010792092; 54.69108657847]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 95.3° = 95°18' = 1.47882938764 rad
∠ B' = β' = 132.4° = 132°24' = 0.83107767239 rad
∠ C' = γ' = 132.3° = 132°18' = 0.83325220532 rad
Calculate another triangle
How did we calculate this triangle?
1. Calculate the third unknown inner angle

2. By using the law of sines, we calculate unknown side a

3. By using the law of sines, we calculate last unknown side b

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS.

4. The triangle circumference is the sum of the lengths of its three sides

5. Semiperimeter of the triangle

6. The triangle area using Heron's formula

7. Calculate the heights of the triangle from its area.

8. Calculation of the inner angles of the triangle using a Law of Cosines

9. Inradius

10. Circumradius
