164 145 89 triangle

Acute scalene triangle.

Sides: a = 164   b = 145   c = 89

Area: T = 6432.115473778
Perimeter: p = 398
Semiperimeter: s = 199

Angle ∠ A = α = 85.44443937593° = 85°26'40″ = 1.49112859985 rad
Angle ∠ B = β = 61.80660172058° = 61°48'22″ = 1.07987184978 rad
Angle ∠ C = γ = 32.75495890349° = 32°44'59″ = 0.57215881573 rad

Height: ha = 78.44404236315
Height: hb = 88.71988239694
Height: hc = 144.542190422

Median: ma = 88.02884045067
Median: mb = 110.237724416
Median: mc = 148.2577377557

Inradius: r = 32.3222184612
Circumradius: R = 82.26598821025

Vertex coordinates: A[89; 0] B[0; 0] C[77.48331460674; 144.542190422]
Centroid: CG[55.49443820225; 48.18106347399]
Coordinates of the circumscribed circle: U[44.5; 69.18440892368]
Coordinates of the inscribed circle: I[54; 32.3222184612]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 94.55656062407° = 94°33'20″ = 1.49112859985 rad
∠ B' = β' = 118.1943982794° = 118°11'38″ = 1.07987184978 rad
∠ C' = γ' = 147.2550410965° = 147°15'1″ = 0.57215881573 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     