# 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 = 26.69546716255   b = 10   c = 24.75108685342

Area: T = 123.7544342671
Perimeter: p = 61.44655401597
Semiperimeter: s = 30.72327700799

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 22° = 0.38439724354 rad
Angle ∠ C = γ = 68° = 1.18768238914 rad

Height: ha = 9.27218385457
Height: hb = 24.75108685342
Height: hc = 10

Median: ma = 13.34773358128
Median: mb = 25.25108513361
Median: mc = 15.91107313879

Inradius: r = 4.02880984543
Circumradius: R = 13.34773358128

Vertex coordinates: A[24.75108685342; 0] B[0; 0] C[24.75108685342; 10]
Centroid: CG[16.50105790228; 3.33333333333]
Coordinates of the circumscribed circle: U[12.37554342671; 5]
Coordinates of the inscribed circle: I[20.72327700799; 4.02880984543]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 158° = 0.38439724354 rad
∠ C' = γ' = 112° = 1.18768238914 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    