# Triangle calculator

You have entered side a, angle β and angle γ.

### Acute scalene triangle.

Sides: a = 17.5   b = 17.5   c = 9.05986665786

Area: T = 76.56325
Perimeter: p = 44.05986665786
Semiperimeter: s = 22.02993332893

Angle ∠ A = α = 75° = 1.3098996939 rad
Angle ∠ B = β = 75° = 1.3098996939 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 8.75
Height: hb = 8.75
Height: hc = 16.90437019601

Median: ma = 10.84439946556
Median: mb = 10.84439946556
Median: mc = 16.90437019601

Vertex coordinates: A[9.05986665786; 0] B[0; 0] C[4.52993332893; 16.90437019601]
Centroid: CG[4.52993332893; 5.635456732]
Coordinates of the circumscribed circle: U[4.52993332893; 7.84550353815]
Coordinates of the inscribed circle: I[4.52993332893; 3.47554796704]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105° = 1.3098996939 rad
∠ B' = β' = 105° = 1.3098996939 rad
∠ C' = γ' = 150° = 0.52435987756 rad

# How did we calculate this triangle?

### 4. From angle γ, angle α and side a we calculate c - By using the law of sines, we calculate unknown side c:

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.