# Triangle calculator SAS - result

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

### Obtuse scalene triangle.

Sides: a = 51   b = 110   c = 148.0310662299

Area: T = 2148.755466295
Perimeter: p = 309.0310662299
Semiperimeter: s = 154.515533115

Angle ∠ A = α = 15.30327946029° = 15°18'10″ = 0.26770841506 rad
Angle ∠ B = β = 34.69772053971° = 34°41'50″ = 0.60655804754 rad
Angle ∠ C = γ = 130° = 2.26989280276 rad

Height: ha = 84.26548887431
Height: hb = 39.06882665991
Height: hc = 29.03112105557

Median: ma = 127.8921706105
Median: mb = 96.08334974922
Median: mc = 43.26992818848

Inradius: r = 13.90664172271
Circumradius: R = 96.62201528049

Vertex coordinates: A[148.0310662299; 0] B[0; 0] C[41.93107621404; 29.03112105557]
Centroid: CG[63.32204748131; 9.67770701852]
Coordinates of the circumscribed circle: U[74.01553311495; -62.1066237069]
Coordinates of the inscribed circle: I[44.51553311495; 13.90664172271]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.6977205397° = 164°41'50″ = 0.26770841506 rad
∠ B' = β' = 145.3032794603° = 145°18'10″ = 0.60655804754 rad
∠ C' = γ' = 50° = 2.26989280276 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   