# Triangle calculator ASA

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

### Obtuse scalene triangle.

Sides: a = 58.05498098697   b = 16.82441275087   c = 61

Area: T = 488.0211230994
Perimeter: p = 135.8743937378
Semiperimeter: s = 67.93769686892

Angle ∠ A = α = 72° = 1.25766370614 rad
Angle ∠ B = β = 16° = 0.27992526803 rad
Angle ∠ C = γ = 92° = 1.60657029118 rad

Height: ha = 16.81438787048
Height: hb = 58.0144447494
Height: hc = 16.00106960982

Median: ma = 34.05326140955
Median: mb = 58.94659701451
Median: mc = 29.93660292319

Inradius: r = 7.18334413635
Circumradius: R = 30.51985911011

Vertex coordinates: A[61; 0] B[0; 0] C[55.80110586843; 16.00106960982]
Centroid: CG[38.93436862281; 5.33435653661]
Coordinates of the circumscribed circle: U[30.5; -1.06550834695]
Coordinates of the inscribed circle: I[51.11328411805; 7.18334413635]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108° = 1.25766370614 rad
∠ B' = β' = 164° = 0.27992526803 rad
∠ C' = γ' = 88° = 1.60657029118 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    