# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 1200   b = 500   c = 848.045457828

Area: T = 176335.5765688
Perimeter: p = 2548.045457828
Semiperimeter: s = 1274.022228914

Angle ∠ A = α = 123.7233357669° = 123°43'24″ = 2.15993799529 rad
Angle ∠ B = β = 20.2776642331° = 20°16'36″ = 0.35438941699 rad
Angle ∠ C = γ = 36° = 0.62883185307 rad

Height: ha = 293.8932626146
Height: hb = 705.3422302751
Height: hc = 415.8643930279

Median: ma = 352.9732808266
Median: mb = 1008.509870268
Median: mc = 815.6011065664

Inradius: r = 138.4098548415
Circumradius: R = 721.3989806032

Vertex coordinates: A[848.045457828; 0] B[0; 0] C[1125.636634958; 415.8643930279]
Centroid: CG[657.894364262; 138.6211310093]
Coordinates of the circumscribed circle: U[424.022228914; 583.6176612649]
Coordinates of the inscribed circle: I[774.022228914; 138.4098548415]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 56.2776642331° = 56°16'36″ = 2.15993799529 rad
∠ B' = β' = 159.7233357669° = 159°43'24″ = 0.35438941699 rad
∠ C' = γ' = 144° = 0.62883185307 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.