Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 1.1   b = 1.6   c = 1.74330292161

Area: T = 0.86107698886
Perimeter: p = 4.44330292161
Semiperimeter: s = 2.22215146081

Angle ∠ A = α = 38.11988331036° = 38°7'8″ = 0.66552991447 rad
Angle ∠ B = β = 63.88111668964° = 63°52'52″ = 1.11549366924 rad
Angle ∠ C = γ = 78° = 1.36113568166 rad

Height: ha = 1.56550361612
Height: hb = 1.07659623608
Height: hc = 0.98876712113

Median: ma = 1.5880055513
Median: mb = 1.21882263436
Median: mc = 1.0610878074

Inradius: r = 0.38774698305
Circumradius: R = 0.89109847628

Vertex coordinates: A[1.74330292161; 0] B[0; 0] C[0.48442577602; 0.98876712113]
Centroid: CG[0.74224289921; 0.32992237371]
Coordinates of the circumscribed circle: U[0.87215146081; 0.18552461485]
Coordinates of the inscribed circle: I[0.62215146081; 0.38774698305]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.8811166896° = 141°52'52″ = 0.66552991447 rad
∠ B' = β' = 116.1198833104° = 116°7'8″ = 1.11549366924 rad
∠ C' = γ' = 102° = 1.36113568166 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     