Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 2.5   b = 2.5   c = 1.08221980697

Area: T = 1.32106820679
Perimeter: p = 6.08221980697
Semiperimeter: s = 3.04110990348

Angle ∠ A = α = 77.5° = 77°30' = 1.35326301703 rad
Angle ∠ B = β = 77.5° = 77°30' = 1.35326301703 rad
Angle ∠ C = γ = 25° = 0.4366332313 rad

Height: ha = 1.05765456544
Height: hb = 1.05765456544
Height: hc = 2.44107400178

Median: ma = 1.46656317174
Median: mb = 1.46656317174
Median: mc = 2.44107400178

Inradius: r = 0.43442778886
Circumradius: R = 1.28803493929

Vertex coordinates: A[1.08221980697; 0] B[0; 0] C[0.54110990348; 2.44107400178]
Centroid: CG[0.54110990348; 0.81435800059]
Coordinates of the circumscribed circle: U[0.54110990348; 1.16603906249]
Coordinates of the inscribed circle: I[0.54110990348; 0.43442778886]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 102.5° = 102°30' = 1.35326301703 rad
∠ B' = β' = 102.5° = 102°30' = 1.35326301703 rad
∠ C' = γ' = 155° = 0.4366332313 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     