Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 100   b = 100   c = 51.76438090205

Area: T = 2500
Perimeter: p = 251.764380902
Semiperimeter: s = 125.882190451

Angle ∠ A = α = 75° = 1.3098996939 rad
Angle ∠ B = β = 75° = 1.3098996939 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 50
Height: hb = 50
Height: hc = 96.59325826289

Median: ma = 61.96656837464
Median: mb = 61.96656837464
Median: mc = 96.59325826289

Inradius: r = 19.8659883831
Circumradius: R = 51.76438090205

Vertex coordinates: A[51.76438090205; 0] B[0; 0] C[25.88219045103; 96.59325826289]
Centroid: CG[25.88219045103; 32.1987527543]
Coordinates of the circumscribed circle: U[25.88219045103; 44.82987736084]
Coordinates of the inscribed circle: I[25.88219045103; 19.8659883831]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105° = 1.3098996939 rad
∠ B' = β' = 105° = 1.3098996939 rad
∠ C' = γ' = 150° = 0.52435987756 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     