# Triangle calculator ASA

°
°

### Right scalene triangle.

Sides: a = 0.6032885683   b = 2.32993714059   c = 2.25

Area: T = 0.67882463933
Perimeter: p = 5.18222570889
Semiperimeter: s = 2.59111285444

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

Height: ha = 2.25
Height: hb = 0.58223428515
Height: hc = 0.6032885683

Median: ma = 2.27701030344
Median: mb = 1.1654685703
Median: mc = 1.27663605081

Vertex coordinates: A[2.25; 0] B[0; 0] C[0; 0.6032885683]
Centroid: CG[0.75; 0.20109618943]
Coordinates of the circumscribed circle: U[1.125; 0.30114428415]
Coordinates of the inscribed circle: I[0.26217571385; 0.26217571385]

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