# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 19.65   b = 11.05   c = 20.88

Area: T = 107.0533123794
Perimeter: p = 51.58
Semiperimeter: s = 25.79

Angle ∠ A = α = 68.12114188325° = 68°7'17″ = 1.18989430498 rad
Angle ∠ B = β = 31.45656694687° = 31°27'20″ = 0.54990050006 rad
Angle ∠ C = γ = 80.42329116987° = 80°25'22″ = 1.40436446032 rad

Height: ha = 10.89659922437
Height: hb = 19.37661310034
Height: hc = 10.25441306316

Median: ma = 13.51095456992
Median: mb = 19.50769942585
Median: mc = 12.04765306209

Inradius: r = 4.15109547807
Circumradius: R = 10.58875626029

Vertex coordinates: A[20.88; 0] B[0; 0] C[16.76223180077; 10.25441306316]
Centroid: CG[12.54774393359; 3.41880435439]
Coordinates of the circumscribed circle: U[10.44; 1.7611499892]
Coordinates of the inscribed circle: I[14.74; 4.15109547807]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 111.8798581167° = 111°52'43″ = 1.18989430498 rad
∠ B' = β' = 148.5444330531° = 148°32'40″ = 0.54990050006 rad
∠ C' = γ' = 99.57770883013° = 99°34'38″ = 1.40436446032 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    