Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 78   b = 78   c = 65.92884488315

Area: T = 2330.307719597
Perimeter: p = 221.9288448831
Semiperimeter: s = 110.9644224416

Angle ∠ A = α = 65° = 1.13444640138 rad
Angle ∠ B = β = 65° = 1.13444640138 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 59.75114665633
Height: hb = 59.75114665633
Height: hc = 70.69220073889

Median: ma = 60.78105905094
Median: mb = 60.78105905094
Median: mc = 70.69220073889

Inradius: r = 21.00105270459
Circumradius: R = 43.03217388395

Vertex coordinates: A[65.92884488315; 0] B[0; 0] C[32.96442244158; 70.69220073889]
Centroid: CG[32.96442244158; 23.5644002463]
Coordinates of the circumscribed circle: U[32.96442244158; 27.66602685493]
Coordinates of the inscribed circle: I[32.96442244158; 21.00105270459]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115° = 1.13444640138 rad
∠ B' = β' = 115° = 1.13444640138 rad
∠ C' = γ' = 130° = 0.8732664626 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     