Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 68   b = 110   c = 75.46107914173

Area: T = 2526.707737648
Perimeter: p = 253.4610791417
Semiperimeter: s = 126.7330395709

Angle ∠ A = α = 37.50224069243° = 37°30'9″ = 0.65545404783 rad
Angle ∠ B = β = 99.99875930757° = 99°59'51″ = 1.74552872432 rad
Angle ∠ C = γ = 42.5° = 42°30' = 0.74217649321 rad

Height: ha = 74.31549228377
Height: hb = 45.94401341179
Height: hc = 66.96774231883

Median: ma = 87.98438935298
Median: mb = 46.19770293489
Median: mc = 83.29771622546

Inradius: r = 19.93876586994
Circumradius: R = 55.8488050021

Vertex coordinates: A[75.46107914173; 0] B[0; 0] C[-11.80552628737; 66.96774231883]
Centroid: CG[21.21985095145; 22.32224743961]
Coordinates of the circumscribed circle: U[37.73303957086; 41.17655015855]
Coordinates of the inscribed circle: I[16.73303957086; 19.93876586994]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.4987593076° = 142°29'51″ = 0.65545404783 rad
∠ B' = β' = 80.00224069243° = 80°9″ = 1.74552872432 rad
∠ C' = γ' = 137.5° = 137°30' = 0.74217649321 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     