# Triangle calculator SSS - result

### Acute scalene triangle.

Sides: a = 10.5   b = 8.7   c = 12.78

Area: T = 45.32438386127
Perimeter: p = 31.98
Semiperimeter: s = 15.99

Angle ∠ A = α = 54.61550171503° = 54°36'54″ = 0.95332118703 rad
Angle ∠ B = β = 42.49443406306° = 42°29'40″ = 0.74216661575 rad
Angle ∠ C = γ = 82.89106422192° = 82°53'26″ = 1.44767146258 rad

Height: ha = 8.63331121167
Height: hb = 10.41992732443
Height: hc = 7.09329324903

Median: ma = 9.58988841895
Median: mb = 10.85766431276
Median: mc = 7.22106578648

Vertex coordinates: A[12.78; 0] B[0; 0] C[7.74221126761; 7.09329324903]
Centroid: CG[6.84107042254; 2.36443108301]
Coordinates of the circumscribed circle: U[6.39; 0.7976976428]
Coordinates of the inscribed circle: I[7.29; 2.8354511483]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.385498285° = 125°23'6″ = 0.95332118703 rad
∠ B' = β' = 137.5065659369° = 137°30'20″ = 0.74216661575 rad
∠ C' = γ' = 97.10993577808° = 97°6'34″ = 1.44767146258 rad

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