# 216 165 368 triangle

### Obtuse scalene triangle.

Sides: a = 216   b = 165   c = 368

Area: T = 8990.612159975
Perimeter: p = 749
Semiperimeter: s = 374.5

Angle ∠ A = α = 17.22655165541° = 17°13'32″ = 0.30106419792 rad
Angle ∠ B = β = 13.07442203237° = 13°4'27″ = 0.22881881918 rad
Angle ∠ C = γ = 149.7700263122° = 149°42'1″ = 2.61327624826 rad

Height: ha = 83.24664037014
Height: hb = 108.97771103
Height: hc = 48.86220195638

Median: ma = 263.9332756588
Median: mb = 290.2310511835
Median: mc = 55.53882750902

Vertex coordinates: A[368; 0] B[0; 0] C[210.4010815217; 48.86220195638]
Centroid: CG[192.8800271739; 16.28773398546]
Coordinates of the circumscribed circle: U[184; -314.8821581591]
Coordinates of the inscribed circle: I[209.5; 24.00769735641]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.7744483446° = 162°46'28″ = 0.30106419792 rad
∠ B' = β' = 166.9265779676° = 166°55'33″ = 0.22881881918 rad
∠ C' = γ' = 30.32997368778° = 30°17'59″ = 2.61327624826 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    