# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 100   b = 120   c = 111.3555287257

Area: T = 5196.152242271
Perimeter: p = 331.3555287257
Semiperimeter: s = 165.6787643628

Angle ∠ A = α = 51.05217244354° = 51°3'6″ = 0.89110206802 rad
Angle ∠ B = β = 68.94882755646° = 68°56'54″ = 1.20333744222 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 103.9233048454
Height: hb = 86.60325403784
Height: hc = 93.32656525257

Median: ma = 104.4033065089
Median: mb = 87.17879788708
Median: mc = 95.39439201417

Inradius: r = 31.36330270742
Circumradius: R = 64.29110050733

Vertex coordinates: A[111.3555287257; 0] B[0; 0] C[35.92110604054; 93.32656525257]
Centroid: CG[49.09221158873; 31.10985508419]
Coordinates of the circumscribed circle: U[55.67876436283; 32.14655025366]
Coordinates of the inscribed circle: I[45.67876436283; 31.36330270742]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.9488275565° = 128°56'54″ = 0.89110206802 rad
∠ B' = β' = 111.0521724435° = 111°3'6″ = 1.20333744222 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 ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.