# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 20   b = 23   c = 28

Area: T = 227.1255378371
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 44.85884992844° = 44°51'31″ = 0.783292851 rad
Angle ∠ B = β = 54.21096242387° = 54°12'35″ = 0.94661364292 rad
Angle ∠ C = γ = 80.93218764769° = 80°55'55″ = 1.41325277143 rad

Height: ha = 22.71325378371
Height: hb = 19.75500329018
Height: hc = 16.22332413122

Median: ma = 23.59902522242
Median: mb = 21.44217816424
Median: mc = 16.38659696082

Inradius: r = 6.39878979823
Circumradius: R = 14.17771915719

Vertex coordinates: A[28; 0] B[0; 0] C[11.69664285714; 16.22332413122]
Centroid: CG[13.23221428571; 5.40877471041]
Coordinates of the circumscribed circle: U[14; 2.23444486717]
Coordinates of the inscribed circle: I[12.5; 6.39878979823]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.1421500716° = 135°8'29″ = 0.783292851 rad
∠ B' = β' = 125.7990375761° = 125°47'25″ = 0.94661364292 rad
∠ C' = γ' = 99.06881235231° = 99°4'5″ = 1.41325277143 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    