Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=488.0166237676 and with side c=289.1329723781

#1 Acute scalene triangle.

Sides: a = 500   b = 330   c = 488.0166237676

Area: T = 76779.64223831
Perimeter: p = 1318.016623768
Semiperimeter: s = 659.0088118838

Angle ∠ A = α = 72.462170313° = 72°27'42″ = 1.26546953012 rad
Angle ∠ B = β = 39° = 0.68106784083 rad
Angle ∠ C = γ = 68.538829687° = 68°32'18″ = 1.19662189441 rad

Height: ha = 307.1198569533
Height: hb = 465.3311165958
Height: hc = 314.6660195525

Median: ma = 333.2121530589
Median: mb = 465.6776845159
Median: mc = 346.2880288121

Inradius: r = 116.5087885394
Circumradius: R = 262.1887595296

Vertex coordinates: A[488.0166237676; 0] B[0; 0] C[388.5732980728; 314.6660195525]
Centroid: CG[292.1966406135; 104.8876731842]
Coordinates of the circumscribed circle: U[244.0088118838; 95.92990001423]
Coordinates of the inscribed circle: I[329.0088118838; 116.5087885394]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107.538829687° = 107°32'18″ = 1.26546953012 rad
∠ B' = β' = 141° = 0.68106784083 rad
∠ C' = γ' = 111.462170313° = 111°27'42″ = 1.19662189441 rad

How did we calculate this triangle?

1. Use Law of Cosines  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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines    9. Calculation of medians #2 Obtuse scalene triangle.

Sides: a = 500   b = 330   c = 289.1329723781

Area: T = 45488.80877086
Perimeter: p = 1119.132972378
Semiperimeter: s = 559.5654861891

Angle ∠ A = α = 107.538829687° = 107°32'18″ = 1.87768973524 rad
Angle ∠ B = β = 39° = 0.68106784083 rad
Angle ∠ C = γ = 33.462170313° = 33°27'42″ = 0.58440168929 rad

Height: ha = 181.9555230834
Height: hb = 275.6989743688
Height: hc = 314.6660195525

Median: ma = 183.7066283472
Median: mb = 373.5954698285
Median: mc = 398.1854631429

Inradius: r = 81.2933181196
Circumradius: R = 262.1887595296

Vertex coordinates: A[289.1329723781; 0] B[0; 0] C[388.5732980728; 314.6660195525]
Centroid: CG[225.9010901503; 104.8876731842]
Coordinates of the circumscribed circle: U[144.5654861891; 218.7311195383]
Coordinates of the inscribed circle: I[229.5654861891; 81.2933181196]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 72.462170313° = 72°27'42″ = 1.87768973524 rad
∠ B' = β' = 141° = 0.68106784083 rad
∠ C' = γ' = 146.538829687° = 146°32'18″ = 0.58440168929 rad

How did we calculate this triangle?

1. Use Law of Cosines  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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     