# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 300   b = 77.64657135308   c = 289.7787747887

Area: T = 11250
Perimeter: p = 667.4233461417
Semiperimeter: s = 333.7121730709

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 15° = 0.26217993878 rad
Angle ∠ C = γ = 75° = 1.3098996939 rad

Height: ha = 75
Height: hb = 289.7787747887
Height: hc = 77.64657135308

Median: ma = 150
Median: mb = 292.3676819899
Median: mc = 164.3832610462

Inradius: r = 33.71217307087
Circumradius: R = 150

Vertex coordinates: A[289.7787747887; 0] B[0; 0] C[289.7787747887; 77.64657135308]
Centroid: CG[193.1855165258; 25.88219045103]
Coordinates of the circumscribed circle: U[144.8898873943; 38.82328567654]
Coordinates of the inscribed circle: I[256.0666017178; 33.71217307087]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 165° = 0.26217993878 rad
∠ C' = γ' = 105° = 1.3098996939 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    