# Triangle calculator ASA

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### Obtuse isosceles triangle.

Sides: a = 105.0439736939   b = 105.0439736939   c = 200.9

Area: T = 3084.884448638
Perimeter: p = 410.9799473878
Semiperimeter: s = 205.4989736939

Angle ∠ A = α = 17° = 0.29767059728 rad
Angle ∠ B = β = 17° = 0.29767059728 rad
Angle ∠ C = γ = 146° = 2.54881807079 rad

Height: ha = 58.73774754788
Height: hb = 58.73774754788
Height: hc = 30.71106469525

Median: ma = 151.4555411208
Median: mb = 151.4555411208
Median: mc = 30.71106469525

Vertex coordinates: A[200.9; 0] B[0; 0] C[100.45; 30.71106469525]
Centroid: CG[100.45; 10.23768823175]
Coordinates of the circumscribed circle: U[100.45; -148.9233249287]
Coordinates of the inscribed circle: I[100.45; 15.01223530855]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163° = 0.29767059728 rad
∠ B' = β' = 163° = 0.29767059728 rad
∠ C' = γ' = 34° = 2.54881807079 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    