4 8 10 triangle

Obtuse scalene triangle.

Sides: a = 4   b = 8   c = 10

Area: T = 15.19986841536
Perimeter: p = 22
Semiperimeter: s = 11

Angle ∠ A = α = 22.33216450092° = 22°19'54″ = 0.39897607328 rad
Angle ∠ B = β = 49.45883981265° = 49°27'30″ = 0.86332118901 rad
Angle ∠ C = γ = 108.2109956864° = 108°12'36″ = 1.88986200307 rad

Height: ha = 7.59993420768
Height: hb = 3.87996710384
Height: hc = 3.04397368307

Median: ma = 8.83217608663
Median: mb = 6.48107406984
Median: mc = 3.87329833462

Vertex coordinates: A[10; 0] B[0; 0] C[2.6; 3.04397368307]
Centroid: CG[4.2; 1.01332456102]
Coordinates of the circumscribed circle: U[5; -1.64548792374]
Coordinates of the inscribed circle: I[3; 1.38216985594]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.6688354991° = 157°40'6″ = 0.39897607328 rad
∠ B' = β' = 130.5421601874° = 130°32'30″ = 0.86332118901 rad
∠ C' = γ' = 71.79900431357° = 71°47'24″ = 1.88986200307 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    