# 240 127 281 triangle

### Obtuse scalene triangle.

Sides: a = 240   b = 127   c = 281

Area: T = 15183.76655409
Perimeter: p = 648
Semiperimeter: s = 324

Angle ∠ A = α = 58.31441645186° = 58°18'51″ = 1.01877741714 rad
Angle ∠ B = β = 26.76222663382° = 26°45'44″ = 0.46770896629 rad
Angle ∠ C = γ = 94.92435691432° = 94°55'25″ = 1.65767288193 rad

Height: ha = 126.5311379507
Height: hb = 239.1144417966
Height: hc = 108.0769505629

Median: ma = 182.0587683167
Median: mb = 253.4722385084
Median: mc = 130.8659657649

Vertex coordinates: A[281; 0] B[0; 0] C[214.2921814947; 108.0769505629]
Centroid: CG[165.0977271649; 36.0233168543]
Coordinates of the circumscribed circle: U[140.5; -12.10333217686]
Coordinates of the inscribed circle: I[197; 46.86334738916]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.6865835481° = 121°41'9″ = 1.01877741714 rad
∠ B' = β' = 153.2387733662° = 153°14'16″ = 0.46770896629 rad
∠ C' = γ' = 85.07664308568° = 85°4'35″ = 1.65767288193 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    