Triangle calculator SAS

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

Obtuse isosceles triangle.

Sides: a = 140   b = 140   c = 263.114393382

Area: T = 6299.319857493
Perimeter: p = 543.114393382
Semiperimeter: s = 271.557696691

Angle ∠ A = α = 20° = 0.34990658504 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 140° = 2.44334609528 rad

Height: ha = 89.99902653561
Height: hb = 89.99902653561
Height: hc = 47.88328200656

Median: ma = 198.7822471775
Median: mb = 198.7822471775
Median: mc = 47.88328200656

Inradius: r = 23.19770427664
Circumradius: R = 204.6666308011

Vertex coordinates: A[263.114393382; 0] B[0; 0] C[131.557696691; 47.88328200656]
Centroid: CG[131.557696691; 15.96109400219]
Coordinates of the circumscribed circle: U[131.557696691; -156.7833487946]
Coordinates of the inscribed circle: I[131.557696691; 23.19770427664]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160° = 0.34990658504 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 40° = 2.44334609528 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     