Triangle calculator SSA

Please enter two sides and a non-included angle
°

Right scalene triangle.

Sides: a = 31   b = 96   c = 90.8577030548

Area: T = 1408.284397349
Perimeter: p = 217.8577030548
Semiperimeter: s = 108.9298515274

Angle ∠ A = α = 18.83994045473° = 18°50'22″ = 0.32988096385 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 71.16105954527° = 71°9'38″ = 1.24219866883 rad

Height: ha = 90.8577030548
Height: hb = 29.33992494478
Height: hc = 31

Median: ma = 92.17696804812
Median: mb = 48
Median: mc = 54.99877272258

Inradius: r = 12.9298515274
Circumradius: R = 48

Vertex coordinates: A[90.8577030548; 0] B[0; 0] C[-0; 31]
Centroid: CG[30.28656768493; 10.33333333333]
Coordinates of the circumscribed circle: U[45.4298515274; 15.5]
Coordinates of the inscribed circle: I[12.9298515274; 12.9298515274]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.1610595453° = 161°9'38″ = 0.32988096385 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 108.8399404547° = 108°50'22″ = 1.24219866883 rad

How did we calculate this triangle?

1. Use 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     