# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 14   b = 17   c = 20

Area: T = 117.0877307169
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 43.53111521674° = 43°31'52″ = 0.76597619325 rad
Angle ∠ B = β = 56.75554084441° = 56°45'19″ = 0.99105687457 rad
Angle ∠ C = γ = 79.71334393885° = 79°42'48″ = 1.39112619754 rad

Height: ha = 16.72767581669
Height: hb = 13.7754977314
Height: hc = 11.70987307169

Median: ma = 17.19901134377
Median: mb = 15.02549792013
Median: mc = 11.93773363863

Inradius: r = 4.59216591047
Circumradius: R = 10.1633356121

Vertex coordinates: A[20; 0] B[0; 0] C[7.675; 11.70987307169]
Centroid: CG[9.225; 3.9032910239]
Coordinates of the circumscribed circle: U[10; 1.81548850216]
Coordinates of the inscribed circle: I[8.5; 4.59216591047]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.4698847833° = 136°28'8″ = 0.76597619325 rad
∠ B' = β' = 123.2454591556° = 123°14'41″ = 0.99105687457 rad
∠ C' = γ' = 100.2876560611° = 100°17'12″ = 1.39112619754 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    