# Triangle calculator

You have entered side a, b and c.

### Obtuse scalene triangle.

Sides: a = 2.66   b = 5.04   c = 5.7

Area: T = 6.70331992362
Perimeter: p = 13.4
Semiperimeter: s = 6.7

Angle ∠ A = α = 27.81881358398° = 27°49'5″ = 0.48655180622 rad
Angle ∠ B = β = 62.15545120744° = 62°9'16″ = 1.08548008807 rad
Angle ∠ C = γ = 90.02773520858° = 90°1'38″ = 1.57112737107 rad

Height: ha = 5.04399994257
Height: hb = 2.66599996969
Height: hc = 2.3521999732

Median: ma = 5.21331468424
Median: mb = 3.66550238744
Median: mc = 2.84988769717

Vertex coordinates: A[5.7; 0] B[0; 0] C[1.24224561404; 2.3521999732]
Centroid: CG[2.31441520468; 0.78439999107]
Coordinates of the circumscribed circle: U[2.85; -0.00113605444]
Coordinates of the inscribed circle: I[1.66; 11.0004774979]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.182186416° = 152°10'55″ = 0.48655180622 rad
∠ B' = β' = 117.8455487926° = 117°50'44″ = 1.08548008807 rad
∠ C' = γ' = 89.97326479142° = 89°58'22″ = 1.57112737107 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and 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. ### 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    