7 18 19 triangle

Acute scalene triangle.

Sides: a = 7   b = 18   c = 19

Area: T = 62.92985308902
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 21.59325161782° = 21°35'33″ = 0.37768605011 rad
Angle ∠ B = β = 71.13768864586° = 71°8'13″ = 1.24215728883 rad
Angle ∠ C = γ = 87.27105973632° = 87°16'14″ = 1.52331592642 rad

Height: ha = 17.98795802543
Height: hb = 6.99220589878
Height: hc = 6.62440558832

Median: ma = 18.17327818454
Median: mb = 11.13655287257
Median: mc = 9.81107084352

Vertex coordinates: A[19; 0] B[0; 0] C[2.26331578947; 6.62440558832]
Centroid: CG[7.08877192982; 2.20880186277]
Coordinates of the circumscribed circle: U[9.5; 0.45328947299]
Coordinates of the inscribed circle: I[4; 2.86603877677]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.4077483822° = 158°24'27″ = 0.37768605011 rad
∠ B' = β' = 108.8633113541° = 108°51'47″ = 1.24215728883 rad
∠ C' = γ' = 92.72994026368° = 92°43'46″ = 1.52331592642 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    