# Triangle calculator ASA

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

### Right scalene triangle.

Sides: a = 5.78664666378   b = 1.97990881488   c = 5.43875

Area: T = 5.38106459046
Perimeter: p = 13.20330547867
Semiperimeter: s = 6.60215273933

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 70° = 1.22217304764 rad

Height: ha = 1.86597345293
Height: hb = 5.43875
Height: hc = 1.97990881488

Median: ma = 2.89332333189
Median: mb = 5.52768077337
Median: mc = 3.3632795186

Inradius: r = 0.81550607555
Circumradius: R = 2.89332333189

Vertex coordinates: A[5.43875; 0] B[0; 0] C[5.43875; 1.97990881488]
Centroid: CG[3.625; 0.66596960496]
Coordinates of the circumscribed circle: U[2.719875; 0.99895440744]
Coordinates of the inscribed circle: I[4.62224392445; 0.81550607555]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 110° = 1.22217304764 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    