# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 4.12   b = 5.1   c = 6.4

Area: T = 10.49438028755
Perimeter: p = 15.62
Semiperimeter: s = 7.81

Angle ∠ A = α = 40.01660839832° = 40°58″ = 0.69884124193 rad
Angle ∠ B = β = 52.74550640182° = 52°44'42″ = 0.92105750313 rad
Angle ∠ C = γ = 87.23988519986° = 87°14'20″ = 1.5232605203 rad

Height: ha = 5.09440790658
Height: hb = 4.11552168139
Height: hc = 3.27993133986

Median: ma = 5.40875317845
Median: mb = 4.7439694083
Median: mc = 3.35444299069

Inradius: r = 1.34436367318
Circumradius: R = 3.20437194141

Vertex coordinates: A[6.4; 0] B[0; 0] C[2.494409375; 3.27993133986]
Centroid: CG[2.96546979167; 1.09331044662]
Coordinates of the circumscribed circle: U[3.2; 0.15443310866]
Coordinates of the inscribed circle: I[2.71; 1.34436367318]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.9843916017° = 139°59'2″ = 0.69884124193 rad
∠ B' = β' = 127.2554935982° = 127°15'18″ = 0.92105750313 rad
∠ C' = γ' = 92.76111480014° = 92°45'40″ = 1.5232605203 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    