# 80 84 116 triangle

### Right scalene triangle.

Sides: a = 80   b = 84   c = 116

Area: T = 3360
Perimeter: p = 280
Semiperimeter: s = 140

Angle ∠ A = α = 43.60328189727° = 43°36'10″ = 0.76110127542 rad
Angle ∠ B = β = 46.39771810273° = 46°23'50″ = 0.81097835726 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 84
Height: hb = 80
Height: hc = 57.93110344828

Median: ma = 93.03876267969
Median: mb = 90.35548559846
Median: mc = 58

Inradius: r = 24
Circumradius: R = 58

Vertex coordinates: A[116; 0] B[0; 0] C[55.17224137931; 57.93110344828]
Centroid: CG[57.05774712644; 19.31103448276]
Coordinates of the circumscribed circle: U[58; 0]
Coordinates of the inscribed circle: I[56; 24]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.3977181027° = 136°23'50″ = 0.76110127542 rad
∠ B' = β' = 133.6032818973° = 133°36'10″ = 0.81097835726 rad
∠ C' = γ' = 90° = 1.57107963268 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    