Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 2.18875   b = 3.63548378087   c = 2.90329105473

Area: T = 3.17550584111
Perimeter: p = 8.7255248356
Semiperimeter: s = 4.3632624178

Angle ∠ A = α = 37° = 0.64657718232 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 53° = 0.92550245036 rad

Height: ha = 2.90329105473
Height: hb = 1.74770151782
Height: hc = 2.18875

Median: ma = 3.10221248698
Median: mb = 1.81774189044
Median: mc = 2.62552387818

Inradius: r = 0.72877863693
Circumradius: R = 1.81774189044

Vertex coordinates: A[2.90329105473; 0] B[0; 0] C[-0; 2.18875]
Centroid: CG[0.96876368491; 0.72991666667]
Coordinates of the circumscribed circle: U[1.45114552736; 1.094375]
Coordinates of the inscribed circle: I[0.72877863693; 0.72877863693]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143° = 0.64657718232 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 127° = 0.92550245036 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 b 3. By using the law of sines, we calculate last unknown side c 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     