# 5.1 7.85 9.36 triangle

### Acute scalene triangle.

Sides: a = 5.1   b = 7.85   c = 9.36

Area: T = 20.01774991813
Perimeter: p = 22.31
Semiperimeter: s = 11.155

Angle ∠ A = α = 33.01659014554° = 33°57″ = 0.57662361859 rad
Angle ∠ B = β = 577.0004851235° = 57°2″ = 0.99548461406 rad
Angle ∠ C = γ = 89.98436134211° = 89°59'1″ = 1.5710510327 rad

Height: ha = 7.8549999679
Height: hb = 5.10999997914
Height: hc = 4.27772434148

Median: ma = 8.25330933595
Median: mb = 6.43546076026
Median: mc = 4.68112231308

Vertex coordinates: A[9.36; 0] B[0; 0] C[2.77876228632; 4.27772434148]
Centroid: CG[4.04658742877; 1.42657478049]
Coordinates of the circumscribed circle: U[4.68; 0.00113384789]
Coordinates of the inscribed circle: I[3.305; 1.79444867038]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.9844098545° = 146°59'3″ = 0.57662361859 rad
∠ B' = β' = 1232.999514877° = 122°59'58″ = 0.99548461406 rad
∠ C' = γ' = 90.01663865789° = 90°59″ = 1.5710510327 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 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    