# 104.25 162.25 192.25 triangle

### Acute scalene triangle.

Sides: a = 104.25   b = 162.25   c = 192.25

Area: T = 8457.081053991
Perimeter: p = 458.75
Semiperimeter: s = 229.375

Angle ∠ A = α = 32.83769248653° = 32°50'13″ = 0.57331124551 rad
Angle ∠ B = β = 57.55878120145° = 57°33'28″ = 1.00545733299 rad
Angle ∠ C = γ = 89.60552631202° = 89°36'19″ = 1.56439068686 rad

Height: ha = 162.2466149447
Height: hb = 104.2487525916
Height: hc = 87.98800316246

Median: ma = 170.075512127
Median: mb = 131.6544080358
Median: mc = 96.72992451899

Vertex coordinates: A[192.25; 0] B[0; 0] C[55.9254739922; 87.98800316246]
Centroid: CG[82.72549133073; 29.32766772082]
Coordinates of the circumscribed circle: U[96.125; 0.66222596506]
Coordinates of the inscribed circle: I[67.125; 36.87701058961]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.1633075135° = 147°9'47″ = 0.57331124551 rad
∠ B' = β' = 122.4422187985° = 122°26'32″ = 1.00545733299 rad
∠ C' = γ' = 90.39547368798° = 90°23'41″ = 1.56439068686 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    