240 121 302 triangle

Obtuse scalene triangle.

Sides: a = 240   b = 121   c = 302

Area: T = 13724.27437308
Perimeter: p = 663
Semiperimeter: s = 331.5

Angle ∠ A = α = 48.69901502551° = 48°41'25″ = 0.85498034352 rad
Angle ∠ B = β = 22.25334981628° = 22°15'13″ = 0.3888396813 rad
Angle ∠ C = γ = 109.0566351582° = 109°3'23″ = 1.90333924053 rad

Height: ha = 114.3698947757
Height: hb = 226.8477499682
Height: hc = 90.88992300052

Median: ma = 196.2711495638
Median: mb = 265.9733212937
Median: mc = 115.4110138203

Inradius: r = 41.40105240748
Circumradius: R = 159.7554901644

Vertex coordinates: A[302; 0] B[0; 0] C[222.1244172185; 90.88992300052]
Centroid: CG[174.7088057395; 30.29664100017]
Coordinates of the circumscribed circle: U[151; -52.16596453147]
Coordinates of the inscribed circle: I[210.5; 41.40105240748]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.3109849745° = 131°18'35″ = 0.85498034352 rad
∠ B' = β' = 157.7476501837° = 157°44'47″ = 0.3888396813 rad
∠ C' = γ' = 70.94436484179° = 70°56'37″ = 1.90333924053 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     