# Triangle calculator SSS - result

Please enter the triangle sides:

### Obtuse scalene triangle.

Sides: a = 9   b = 10   c = 16

Area: T = 40.90876704299
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 30.75435198081° = 30°45'13″ = 0.53767501772 rad
Angle ∠ B = β = 34.62221618397° = 34°37'20″ = 0.60442707183 rad
Angle ∠ C = γ = 114.6244318352° = 114°37'28″ = 2.00105717581 rad

Height: ha = 9.09105934289
Height: hb = 8.1821534086
Height: hc = 5.11334588037

Median: ma = 12.56598566871
Median: mb = 11.97991485507
Median: mc = 5.14878150705

Inradius: r = 2.33875811674
Circumradius: R = 8.88003055715

Vertex coordinates: A[16; 0] B[0; 0] C[7.406625; 5.11334588037]
Centroid: CG[7.80220833333; 1.70444862679]
Coordinates of the circumscribed circle: U[8; -3.66767939881]
Coordinates of the inscribed circle: I[7.5; 2.33875811674]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.2466480192° = 149°14'47″ = 0.53767501772 rad
∠ B' = β' = 145.378783816° = 145°22'40″ = 0.60442707183 rad
∠ C' = γ' = 65.37656816478° = 65°22'32″ = 2.00105717581 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    