# 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 = 16.01768029753   b = 6   c = 14.85105211205

Area: T = 44.55215633615
Perimeter: p = 36.86773240958
Semiperimeter: s = 18.43436620479

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

Height: ha = 5.56331031274
Height: hb = 14.85105211205
Height: hc = 6

Median: ma = 8.00884014877
Median: mb = 15.15105108016
Median: mc = 9.54664388328

Inradius: r = 2.41768590726
Circumradius: R = 8.00884014877

Vertex coordinates: A[14.85105211205; 0] B[0; 0] C[14.85105211205; 6]
Centroid: CG[9.99003474137; 2]
Coordinates of the circumscribed circle: U[7.42552605602; 3]
Coordinates of the inscribed circle: I[12.43436620479; 2.41768590726]

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    