# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse scalene triangle.

Sides: a = 3.5   b = 4.2   c = 2.26113573592

Area: T = 3.95767726511
Perimeter: p = 9.96113573592
Semiperimeter: s = 4.98106786796

Angle ∠ A = α = 56.43295369338° = 56°25'46″ = 0.98548812149 rad
Angle ∠ B = β = 91° = 1.58882496193 rad
Angle ∠ C = γ = 32.57704630662° = 32°34'14″ = 0.56884618194 rad

Height: ha = 2.26110129435
Height: hb = 1.88441774529
Height: hc = 3.4999466933

Median: ma = 2.88334646786
Median: mb = 2.06768499106
Median: mc = 3.69768318495

Inradius: r = 0.79444243959
Circumradius: R = 2.11003198889

Vertex coordinates: A[2.26113573592; 0] B[0; 0] C[-0.06110834225; 3.4999466933]
Centroid: CG[0.73334246455; 1.16664889777]
Coordinates of the circumscribed circle: U[1.13106786796; 1.77700026438]
Coordinates of the inscribed circle: I[0.78106786796; 0.79444243959]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.5770463066° = 123°34'14″ = 0.98548812149 rad
∠ B' = β' = 89° = 1.58882496193 rad
∠ C' = γ' = 147.4329536934° = 147°25'46″ = 0.56884618194 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    