# 6 10 14 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 10   c = 14

Area: T = 25.98107621135
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 21.78767892983° = 21°47'12″ = 0.38802512067 rad
Angle ∠ B = β = 38.21332107017° = 38°12'48″ = 0.66769463445 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 8.66602540378
Height: hb = 5.19661524227
Height: hc = 3.71215374448

Median: ma = 11.79898261226
Median: mb = 9.53993920142
Median: mc = 4.35988989435

Inradius: r = 1.73220508076
Circumradius: R = 8.08329037687

Vertex coordinates: A[14; 0] B[0; 0] C[4.71442857143; 3.71215374448]
Centroid: CG[6.23880952381; 1.23771791483]
Coordinates of the circumscribed circle: U[7; -4.04114518843]
Coordinates of the inscribed circle: I[5; 1.73220508076]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.2133210702° = 158°12'48″ = 0.38802512067 rad
∠ B' = β' = 141.7876789298° = 141°47'12″ = 0.66769463445 rad
∠ C' = γ' = 60° = 2.09443951024 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    