12.7 9.9 9.31 triangle

Acute scalene triangle.

Sides: a = 12.7   b = 9.9   c = 9.31

Area: T = 45.71218151773
Perimeter: p = 31.91
Semiperimeter: s = 15.955

Angle ∠ A = α = 82.7088377834° = 82°42'30″ = 1.44435335122 rad
Angle ∠ B = β = 50.64442480173° = 50°38'39″ = 0.88439088751 rad
Angle ∠ C = γ = 46.64773741486° = 46°38'51″ = 0.81441502663 rad

Height: ha = 7.19987110515
Height: hb = 9.23547101368
Height: hc = 9.82199388136

Median: ma = 7.21325272963
Median: mb = 9.97439936836
Median: mc = 10.39113894644

Inradius: r = 2.86550463916
Circumradius: R = 6.4021771049

Vertex coordinates: A[9.31; 0] B[0; 0] C[8.05334962406; 9.82199388136]
Centroid: CG[5.78878320802; 3.27333129379]
Coordinates of the circumscribed circle: U[4.655; 4.39547295212]
Coordinates of the inscribed circle: I[6.055; 2.86550463916]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 97.2921622166° = 97°17'30″ = 1.44435335122 rad
∠ B' = β' = 129.3565751983° = 129°21'21″ = 0.88439088751 rad
∠ C' = γ' = 133.3532625851° = 133°21'9″ = 0.81441502663 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     