Triangle calculator ASA

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

Right scalene triangle.

Sides: a = 4.09895948724   b = 2.3465695253   c = 3.35

Area: T = 3.92990395488
Perimeter: p = 9.78552901254
Semiperimeter: s = 4.89326450627

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 55° = 0.96599310886 rad

Height: ha = 1.92114810618
Height: hb = 3.35
Height: hc = 2.3465695253

Median: ma = 2.04547974362
Median: mb = 3.54993762205
Median: mc = 2.88223447434

Inradius: r = 0.80330501903
Circumradius: R = 2.04547974362

Vertex coordinates: A[3.35; 0] B[0; 0] C[3.35; 2.3465695253]
Centroid: CG[2.23333333333; 0.78218984177]
Coordinates of the circumscribed circle: U[1.675; 1.17328476265]
Coordinates of the inscribed circle: I[2.54769498097; 0.80330501903]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 125° = 0.96599310886 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     