# Triangle calculator - result

Please enter what you know about the triangle:
You have entered side b, angle α and angle β.

### Right scalene triangle.

Sides: a = 25.07884284637   b = 10   c = 22.99884254724

Area: T = 114.9922127362
Perimeter: p = 58.0776853936
Semiperimeter: s = 29.0388426968

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 23.5° = 23°30' = 0.41101523742 rad
Angle ∠ C = γ = 66.5° = 66°30' = 1.16106439526 rad

Height: ha = 9.17106007439
Height: hb = 22.99884254724
Height: hc = 10

Median: ma = 12.53992142318
Median: mb = 23.53656660031
Median: mc = 15.23991565893

Inradius: r = 3.96599985043
Circumradius: R = 12.53992142318

Vertex coordinates: A[22.99884254724; 0] B[0; 0] C[22.99884254724; 10]
Centroid: CG[15.33222836482; 3.33333333333]
Coordinates of the circumscribed circle: U[11.49992127362; 5]
Coordinates of the inscribed circle: I[19.0388426968; 3.96599985043]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 156.5° = 156°30' = 0.41101523742 rad
∠ C' = γ' = 113.5° = 113°30' = 1.16106439526 rad

# How did we calculate this triangle?

### 1. Input data entered: side b, angle α and angle β. ### 2. From angle α and angle β we calculate angle γ: ### 3. From angle α, angle β and side b we calculate side a - By using the law of sines, we calculate unknown side a: ### 4. Calculation of the third side c of the triangle using a Law of Cosines 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. ### 5. The triangle circumference is the sum of the lengths of its three sides ### 6. Semiperimeter of the triangle ### 7. The triangle area using Heron's formula ### 8. Calculate the heights of the triangle from its area. ### 9. Calculation of the inner angles of the triangle using a Law of Cosines    