# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 9.9854607064   b = 13.313280942   c = 122.0000042458

Area: T = 57.55774214087
Perimeter: p = 35.29774207298
Semiperimeter: s = 17.64987103649

Angle ∠ A = α = 46.10221137474° = 46°6'8″ = 0.8054633677 rad
Angle ∠ B = β = 73.89878862526° = 73°53'52″ = 1.29897614254 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 11.52992311535
Height: hb = 8.64769233642
Height: hc = 9.5932900174

Median: ma = 11.64987082426
Median: mb = 8.80655957435
Median: mc = 10.12223322887

Inradius: r = 3.26112819984
Circumradius: R = 6.92882056816

Vertex coordinates: A[122.0000042458; 0] B[0; 0] C[2.7699231748; 9.5932900174]
Centroid: CG[4.92330786646; 3.19876333913]
Coordinates of the circumscribed circle: U[66.0000021229; 3.46441028408]
Coordinates of the inscribed circle: I[4.33659009449; 3.26112819984]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.8987886253° = 133°53'52″ = 0.8054633677 rad
∠ B' = β' = 106.1022113747° = 106°6'8″ = 1.29897614254 rad
∠ C' = γ' = 120° = 1.04771975512 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    