Triangle calculator SAS

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

Right scalene triangle.

Sides: a = 36   b = 72   c = 80.498844719

Area: T = 1296
Perimeter: p = 188.498844719
Semiperimeter: s = 94.2499223595

Angle ∠ A = α = 26.56550511771° = 26°33'54″ = 0.4643647609 rad
Angle ∠ B = β = 63.43549488229° = 63°26'6″ = 1.10771487178 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 72
Height: hb = 36
Height: hc = 32.1999378876

Median: ma = 74.21659012611
Median: mb = 50.91216882454
Median: mc = 40.2499223595

Inradius: r = 13.7510776405
Circumradius: R = 40.2499223595

Vertex coordinates: A[80.498844719; 0] B[0; 0] C[16.1099689438; 32.1999378876]
Centroid: CG[32.1999378876; 10.7333126292]
Coordinates of the circumscribed circle: U[40.2499223595; -0]
Coordinates of the inscribed circle: I[22.2499223595; 13.7510776405]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.4354948823° = 153°26'6″ = 0.4643647609 rad
∠ B' = β' = 116.5655051177° = 116°33'54″ = 1.10771487178 rad
∠ C' = γ' = 90° = 1.57107963268 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     