# Triangle calculator ASA

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### Right scalene triangle.

Sides: a = 0.81223318287   b = 0.469   c = 0.938

Area: T = 0.19904918138
Perimeter: p = 2.21993318287
Semiperimeter: s = 1.11096659144

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

Height: ha = 0.469
Height: hb = 0.81223318287
Height: hc = 0.40661659144

Median: ma = 0.62204286824
Median: mb = 0.84655017741
Median: mc = 0.469

Vertex coordinates: A[0.938; 0] B[0; 0] C[0.70435; 0.40661659144]
Centroid: CG[0.54771666667; 0.13553886381]
Coordinates of the circumscribed circle: U[0.469; -0]
Coordinates of the inscribed circle: I[0.64106659144; 0.17216659144]

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. Calculate the third unknown inner angle ### 2. By using the law of sines, we calculate unknown side a ### 3. By using the law of sines, we calculate last unknown side b 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    