# Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

### Obtuse scalene triangle.

Sides: a = 13.32550975438   b = 25.8770061167   c = 29.75

Area: T = 172.0955158236
Perimeter: p = 68.94551587108
Semiperimeter: s = 34.47325793554

Angle ∠ A = α = 26.565° = 26°33'54″ = 0.46436467158 rad
Angle ∠ B = β = 60.25551° = 60°15'18″ = 1.05216498861 rad
Angle ∠ C = γ = 93.18799° = 93°10'48″ = 1.62662960517 rad

Height: ha = 25.83302286601
Height: hb = 13.30545806985
Height: hc = 11.56994224025

Median: ma = 27.07697566715
Median: mb = 19.07986620621
Median: mc = 14.21877185114

Inradius: r = 4.99222332896
Circumradius: R = 14.89879385713

Vertex coordinates: A[29.75; 0] B[0; 0] C[6.61111035255; 11.56994224025]
Centroid: CG[12.12203678418; 3.85664741342]
Coordinates of the circumscribed circle: U[14.875; -0.8266407087]
Coordinates of the inscribed circle: I[8.60325181884; 4.99222332896]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.435° = 153°26'6″ = 0.46436467158 rad
∠ B' = β' = 119.74549° = 119°44'42″ = 1.05216498861 rad
∠ C' = γ' = 86.82201° = 86°49'12″ = 1.62662960517 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    