9 22 24 triangle

Obtuse scalene triangle.

Sides: a = 9   b = 22   c = 24

Area: T = 98.9621798185
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 22.01553695404° = 22°55″ = 0.38442406845 rad
Angle ∠ B = β = 66.3932876283° = 66°23'34″ = 1.1598774291 rad
Angle ∠ C = γ = 91.59217541766° = 91°35'30″ = 1.59985776781 rad

Height: ha = 21.99215107078
Height: hb = 8.99765271077
Height: hc = 8.24768165154

Median: ma = 22.57876438098
Median: mb = 14.40548602909
Median: mc = 11.76986022959

Vertex coordinates: A[24; 0] B[0; 0] C[3.60441666667; 8.24768165154]
Centroid: CG[9.20113888889; 2.74989388385]
Coordinates of the circumscribed circle: U[12; -0.33334620086]
Coordinates of the inscribed circle: I[5.5; 3.59986108431]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.985463046° = 157°59'5″ = 0.38442406845 rad
∠ B' = β' = 113.6077123717° = 113°36'26″ = 1.1598774291 rad
∠ C' = γ' = 88.40882458234° = 88°24'30″ = 1.59985776781 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    