# Triangle calculator SAS

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

### Obtuse isosceles triangle.

Sides: a = 40   b = 40   c = 69.28220323028

Area: T = 692.8220323028
Perimeter: p = 149.2822032303
Semiperimeter: s = 74.64110161514

Angle ∠ A = α = 30° = 0.52435987756 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 34.64110161514
Height: hb = 34.64110161514
Height: hc = 20

Median: ma = 52.91550262213
Median: mb = 52.91550262213
Median: mc = 20

Vertex coordinates: A[69.28220323028; 0] B[0; 0] C[34.64110161514; 20]
Centroid: CG[34.64110161514; 6.66766666667]
Coordinates of the circumscribed circle: U[34.64110161514; -20]
Coordinates of the inscribed circle: I[34.64110161514; 9.28220323028]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 60° = 2.09443951024 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    