# Triangle calculator - result

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

### Right scalene triangle.

Sides: a = 4.33301270189   b = 2.5   c = 5

Area: T = 5.41326587737
Perimeter: p = 11.83301270189
Semiperimeter: s = 5.91550635095

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 2.5
Height: hb = 4.33301270189
Height: hc = 2.16550635095

Median: ma = 3.30771891388
Median: mb = 4.50769390943
Median: mc = 2.5

Inradius: r = 0.91550635095
Circumradius: R = 2.5

Vertex coordinates: A[5; 0] B[0; 0] C[3.75; 2.16550635095]
Centroid: CG[2.91766666667; 0.72216878365]
Coordinates of the circumscribed circle: U[2.5; 0]
Coordinates of the inscribed circle: I[3.41550635095; 0.91550635095]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

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