Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

Obtuse scalene triangle.

Sides: a = 5.26771301924   b = 7.91549893473   c = 4.7

Area: T = 11.95659941456
Perimeter: p = 17.88221195396
Semiperimeter: s = 8.94110597698

Angle ∠ A = α = 40° = 0.69881317008 rad
Angle ∠ B = β = 105° = 1.83325957146 rad
Angle ∠ C = γ = 35° = 0.61108652382 rad

Height: ha = 4.54398513836
Height: hb = 3.02111017655
Height: hc = 5.08876570832

Median: ma = 5.95325509715
Median: mb = 3.04221318413
Median: mc = 6.29985997186

Inradius: r = 1.3377201009
Circumradius: R = 4.09770999697

Vertex coordinates: A[4.7; 0] B[0; 0] C[-1.36332336068; 5.08876570832]
Centroid: CG[1.11222554644; 1.69658856944]
Coordinates of the circumscribed circle: U[2.35; 3.35661478158]
Coordinates of the inscribed circle: I[1.02660704225; 1.3377201009]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140° = 0.69881317008 rad
∠ B' = β' = 75° = 1.83325957146 rad
∠ C' = γ' = 145° = 0.61108652382 rad

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     