# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 21.25   b = 221.9996188337   c = 5.69439203392

Area: T = 60.49879036036
Perimeter: p = 48.94435391729
Semiperimeter: s = 24.47217695864

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

Height: ha = 5.69439203392
Height: hb = 5.54999047084
Height: hc = 21.25

Median: ma = 12.05545159102
Median: mb = 110.9998094169
Median: mc = 21.44398619913

Inradius: r = 2.47221507527
Circumradius: R = 110.9998094169

Vertex coordinates: A[5.69439203392; 0] B[0; 0] C[-0; 21.25]
Centroid: CG[1.89879734464; 7.08333333333]
Coordinates of the circumscribed circle: U[2.84769601696; 10.625]
Coordinates of the inscribed circle: I[2.47221507527; 2.47221507527]

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