# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 141   b = 145   c = 49.81993610564

Area: T = 3496.301091515
Perimeter: p = 335.8199361056
Semiperimeter: s = 167.9109680528

Angle ∠ A = α = 75.46548723754° = 75°27'54″ = 1.31771104925 rad
Angle ∠ B = β = 84.53551276246° = 84°32'6″ = 1.47554163106 rad
Angle ∠ C = γ = 20° = 0.34990658504 rad

Height: ha = 49.59329207822
Height: hb = 48.22548402089
Height: hc = 140.359912308

Median: ma = 82.36603931998
Median: mb = 76.97655439606
Median: mc = 140.8287936916

Inradius: r = 20.82325094834
Circumradius: R = 72.8311033535

Vertex coordinates: A[49.81993610564; 0] B[0; 0] C[13.42882004796; 140.359912308]
Centroid: CG[21.0832520512; 46.78663743601]
Coordinates of the circumscribed circle: U[24.91096805282; 68.4398784777]
Coordinates of the inscribed circle: I[22.91096805282; 20.82325094834]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 104.5355127625° = 104°32'6″ = 1.31771104925 rad
∠ B' = β' = 95.46548723754° = 95°27'54″ = 1.47554163106 rad
∠ C' = γ' = 160° = 0.34990658504 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    