Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 2.75   b = 1.32   c = 1.8322445404

Area: T = 1.0411041232
Perimeter: p = 5.9022445404
Semiperimeter: s = 2.9511222702

Angle ∠ A = α = 120.596555085° = 120°35'44″ = 2.10547894256 rad
Angle ∠ B = β = 24.40444491499° = 24°24'16″ = 0.42659379898 rad
Angle ∠ C = γ = 35° = 0.61108652382 rad

Height: ha = 0.7577120896
Height: hb = 1.57773352
Height: hc = 1.13662316495

Median: ma = 0.81220979493
Median: mb = 2.24215570658
Median: mc = 1.95326868567

Inradius: r = 0.35327491271
Circumradius: R = 1.59773855338

Vertex coordinates: A[1.8322445404; 0] B[0; 0] C[2.50442918437; 1.13662316495]
Centroid: CG[1.44655790826; 0.37987438832]
Coordinates of the circumscribed circle: U[0.9166222702; 1.30985016256]
Coordinates of the inscribed circle: I[1.6311222702; 0.35327491271]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 59.40444491499° = 59°24'16″ = 2.10547894256 rad
∠ B' = β' = 155.596555085° = 155°35'44″ = 0.42659379898 rad
∠ C' = γ' = 145° = 0.61108652382 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     