Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Acute scalene triangle.

Sides: a = 250.06   b = 184.35   c = 279.4777090103

Area: T = 22585.21990379
Perimeter: p = 713.8877090103
Semiperimeter: s = 356.9443545051

Angle ∠ A = α = 61.25501652914° = 61°15'1″ = 1.06990170517 rad
Angle ∠ B = β = 40.26765347086° = 40°16' = 0.7032783609 rad
Angle ∠ C = γ = 78.48333° = 78°29' = 1.37697919928 rad

Height: ha = 180.6388399088
Height: hb = 245.02554303
Height: hc = 161.6254833217

Median: ma = 201.0321545525
Median: mb = 248.6411294079
Median: mc = 169.5011038572

Inradius: r = 63.27439248294
Circumradius: R = 142.6109771291

Vertex coordinates: A[279.4777090103; 0] B[0; 0] C[190.807727682; 161.6254833217]
Centroid: CG[156.7611455641; 53.87549444057]
Coordinates of the circumscribed circle: U[139.7398545051; 28.47325463305]
Coordinates of the inscribed circle: I[172.5943545051; 63.27439248294]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 118.7549834709° = 118°44'59″ = 1.06990170517 rad
∠ B' = β' = 139.7333465291° = 139°44' = 0.7032783609 rad
∠ C' = γ' = 101.51767° = 101°31' = 1.37697919928 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a 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     