Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 200   b = 200   c = 103.5287618041

Area: T = 10000
Perimeter: p = 503.5287618041
Semiperimeter: s = 251.764380902

Angle ∠ A = α = 75° = 1.3098996939 rad
Angle ∠ B = β = 75° = 1.3098996939 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 100
Height: hb = 100
Height: hc = 193.1855165258

Median: ma = 123.9311367493
Median: mb = 123.9311367493
Median: mc = 193.1855165258

Inradius: r = 39.7219767662
Circumradius: R = 103.5287618041

Vertex coordinates: A[103.5287618041; 0] B[0; 0] C[51.76438090205; 193.1855165258]
Centroid: CG[51.76438090205; 64.39550550859]
Coordinates of the circumscribed circle: U[51.76438090205; 89.65875472168]
Coordinates of the inscribed circle: I[51.76438090205; 39.7219767662]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105° = 1.3098996939 rad
∠ B' = β' = 105° = 1.3098996939 rad
∠ C' = γ' = 150° = 0.52435987756 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     