90.5 106 135 triangle

Acute scalene triangle.

Sides: a = 90.5   b = 106   c = 135

Area: T = 4787.089937167
Perimeter: p = 331.5
Semiperimeter: s = 165.75

Angle ∠ A = α = 41.9944180209° = 41°59'39″ = 0.73329367113 rad
Angle ∠ B = β = 51.59554998995° = 51°35'44″ = 0.90105113525 rad
Angle ∠ C = γ = 86.41103198915° = 86°24'37″ = 1.50881445898 rad

Height: ha = 105.7922030313
Height: hb = 90.32224409749
Height: hc = 70.92198425432

Median: ma = 112.619854865
Median: mb = 101.9743648557
Median: mc = 71.81113848913

Inradius: r = 28.88113838411
Circumradius: R = 67.63326938695

Vertex coordinates: A[135; 0] B[0; 0] C[56.21994444444; 70.92198425432]
Centroid: CG[63.74398148148; 23.64399475144]
Coordinates of the circumscribed circle: U[67.5; 4.23545342182]
Coordinates of the inscribed circle: I[59.75; 28.88113838411]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.0065819791° = 138°21″ = 0.73329367113 rad
∠ B' = β' = 128.4054500101° = 128°24'16″ = 0.90105113525 rad
∠ C' = γ' = 93.59896801085° = 93°35'23″ = 1.50881445898 rad

How did we calculate this triangle?

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     