# Triangle calculator

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

### Acute scalene triangle.

Sides: a = 0.2577432919   b = 0.3   c = 0.32994556414

Area: T = 0.03767249883
Perimeter: p = 0.88768885604
Semiperimeter: s = 0.44334442802

Angle ∠ A = α = 48° = 0.8387758041 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 72° = 1.25766370614 rad

Height: ha = 0.28553169549
Height: hb = 0.24548332551
Height: hc = 0.22329434476

Median: ma = 0.28875805676
Median: mb = 0.25547672737
Median: mc = 0.2265833122

Inradius: r = 0.08328175938
Circumradius: R = 0.17332050808

Vertex coordinates: A[0.32994556414; 0] B[0; 0] C[0.12987164595; 0.22329434476]
Centroid: CG[0.15327240336; 0.07443144825]
Coordinates of the circumscribed circle: U[0.16547278207; 0.05435233135]
Coordinates of the inscribed circle: I[0.14334442802; 0.08328175938]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132° = 0.8387758041 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 108° = 1.25766370614 rad

# How did we calculate this triangle?

### 1. Input data entered: side b, angle β and angle γ. ### 2. From angle γ, angle β and side b we calculate side c - By using the law of sines, we calculate unknown side c: ### 3. Calculation of the third side a 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. ### 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    