# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Right scalene triangle.

Sides: a = 160   b = 192   c = 106.1321993291

Area: T = 8490.559946331
Perimeter: p = 458.1321993291
Semiperimeter: s = 229.0665996646

Angle ∠ A = α = 56.44326902381° = 56°26'34″ = 0.98551107833 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 33.55773097619° = 33°33'26″ = 0.58656855435 rad

Height: ha = 106.1321993291
Height: hb = 88.44333277428
Height: hc = 160

Median: ma = 132.9065981807
Median: mb = 96
Median: mc = 168.5770460046

Vertex coordinates: A[106.1321993291; 0] B[0; 0] C[-0; 160]
Centroid: CG[35.37773310971; 53.33333333333]
Coordinates of the circumscribed circle: U[53.06659966457; 80]
Coordinates of the inscribed circle: I[37.06659966457; 37.06659966457]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.5577309762° = 123°33'26″ = 0.98551107833 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 146.4432690238° = 146°26'34″ = 0.58656855435 rad

# How did we calculate this triangle?

### 1. Use 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. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    