# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 1500   b = 141.5   c = 1506.659930124

Area: T = 106125
Perimeter: p = 3148.159930124
Semiperimeter: s = 1574.087965062

Angle ∠ A = α = 84.61110454122° = 84°36'40″ = 1.4776741326 rad
Angle ∠ B = β = 5.38989545878° = 5°23'20″ = 0.09440550008 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 141.5
Height: hb = 1500
Height: hc = 140.8754582479

Median: ma = 763.2311452444
Median: mb = 1501.668759388
Median: mc = 753.3329650618

Inradius: r = 67.42203493822
Circumradius: R = 753.3329650618

Vertex coordinates: A[1506.659930124; 0] B[0; 0] C[1493.377013229; 140.8754582479]
Centroid: CG[1000.010981117; 46.95881941597]
Coordinates of the circumscribed circle: U[753.3329650618; 0]
Coordinates of the inscribed circle: I[1432.587965062; 67.42203493822]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 95.38989545878° = 95°23'20″ = 1.4776741326 rad
∠ B' = β' = 174.6111045412° = 174°36'40″ = 0.09440550008 rad
∠ C' = γ' = 90° = 1.57107963268 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    