# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Obtuse scalene triangle.

Sides: a = 26.8   b = 13.59765012766   c = 22.14332512416

Area: T = 150.1550119194
Perimeter: p = 62.54397525182
Semiperimeter: s = 31.27698762591

Angle ∠ A = α = 94.1° = 94°6' = 1.64223548261 rad
Angle ∠ B = β = 30.4° = 30°24' = 0.53105800926 rad
Angle ∠ C = γ = 55.5° = 55°30' = 0.96986577349 rad

Height: ha = 11.20552327757
Height: hb = 22.08765818551
Height: hc = 13.56217048784

Median: ma = 12.5711165867
Median: mb = 23.62334116087
Median: mc = 18.13875723181

Inradius: r = 4.80217497079
Circumradius: R = 13.43443814984

Vertex coordinates: A[22.14332512416; 0] B[0; 0] C[23.11553663348; 13.56217048784]
Centroid: CG[15.08662058588; 4.52105682928]
Coordinates of the circumscribed circle: U[11.07216256208; 7.60993174699]
Coordinates of the inscribed circle: I[17.67333749825; 4.80217497079]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 85.9° = 85°54' = 1.64223548261 rad
∠ B' = β' = 149.6° = 149°36' = 0.53105800926 rad
∠ C' = γ' = 124.5° = 124°30' = 0.96986577349 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 b ### 3. By using the law of sines, we calculate last unknown side c 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    