Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 66.175   b = 66.175   c = 25.82202041188

Area: T = 837.9110369175
Perimeter: p = 158.1770204119
Semiperimeter: s = 79.08551020594

Angle ∠ A = α = 78.75° = 78°45' = 1.37444467859 rad
Angle ∠ B = β = 78.75° = 78°45' = 1.37444467859 rad
Angle ∠ C = γ = 22.5° = 22°30' = 0.39326990817 rad

Height: ha = 25.32440761368
Height: hb = 25.32440761368
Height: hc = 64.90334659307

Median: ma = 37.7910529589
Median: mb = 37.7910529589
Median: mc = 64.90334659307

Vertex coordinates: A[25.82202041188; 0] B[0; 0] C[12.91101020594; 64.90334659307]
Centroid: CG[12.91101020594; 21.63444886436]
Coordinates of the circumscribed circle: U[12.91101020594; 31.16877434835]
Coordinates of the inscribed circle: I[12.91101020594; 10.59550469476]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 101.25° = 101°15' = 1.37444467859 rad
∠ B' = β' = 101.25° = 101°15' = 1.37444467859 rad
∠ C' = γ' = 157.5° = 157°30' = 0.39326990817 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    