# Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

### Acute scalene triangle.

Sides: a = 1506.976563294   b = 1409.045472999   c = 1049

Area: T = 710414.651121
Perimeter: p = 3965.022036294
Semiperimeter: s = 1982.511018147

Angle ∠ A = α = 74° = 1.29215436465 rad
Angle ∠ B = β = 64° = 1.11770107213 rad
Angle ∠ C = γ = 42° = 0.73330382858 rad

Height: ha = 942.8354954568
Height: hb = 1008.364351904
Height: hc = 1354.461072681

Median: ma = 987.5021967588
Median: mb = 1090.567706184
Median: mc = 1361.283287094

Inradius: r = 358.3410985005
Circumradius: R = 783.8532950404

Vertex coordinates: A[1049; 0] B[0; 0] C[660.6154636397; 1354.461072681]
Centroid: CG[569.8721545466; 451.4876908936]
Coordinates of the circumscribed circle: U[524.5; 582.5166264028]
Coordinates of the inscribed circle: I[573.4655451475; 358.3410985005]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 106° = 1.29215436465 rad
∠ B' = β' = 116° = 1.11770107213 rad
∠ C' = γ' = 138° = 0.73330382858 rad

# How did we calculate this triangle?

### 1. Calculate the third unknown inner angle ### 2. By using the law of sines, we calculate unknown side a ### 3. By using the law of sines, we calculate last unknown side b 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines    