Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 54   b = 54   c = 25.21220992964

Area: T = 661.918814862
Perimeter: p = 133.2122099296
Semiperimeter: s = 66.60660496482

Angle ∠ A = α = 76.5° = 76°30' = 1.33551768778 rad
Angle ∠ B = β = 76.5° = 76°30' = 1.33551768778 rad
Angle ∠ C = γ = 27° = 0.4711238898 rad

Height: ha = 24.51554869859
Height: hb = 24.51554869859
Height: hc = 52.50879757015

Median: ma = 32.35546747081
Median: mb = 32.35546747081
Median: mc = 52.50879757015

Inradius: r = 9.93878082339
Circumradius: R = 27.7677210229

Vertex coordinates: A[25.21220992964; 0] B[0; 0] C[12.60660496482; 52.50879757015]
Centroid: CG[12.60660496482; 17.50326585672]
Coordinates of the circumscribed circle: U[12.60660496482; 24.74107654725]
Coordinates of the inscribed circle: I[12.60660496482; 9.93878082339]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 103.5° = 103°30' = 1.33551768778 rad
∠ B' = β' = 103.5° = 103°30' = 1.33551768778 rad
∠ C' = γ' = 153° = 0.4711238898 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     