# 14.9 23.8 36.9 triangle

### Obtuse scalene triangle.

Sides: a = 14.9   b = 23.8   c = 36.9

Area: T = 104.4365683557
Perimeter: p = 75.6
Semiperimeter: s = 37.8

Angle ∠ A = α = 13.75987896448° = 13°45'32″ = 0.24401361804 rad
Angle ∠ B = β = 22.32773250026° = 22°19'38″ = 0.39896853345 rad
Angle ∠ C = γ = 143.9143885353° = 143°54'50″ = 2.51217711387 rad

Height: ha = 14.0188212558
Height: hb = 8.77661078619
Height: hc = 5.66604706535

Median: ma = 30.14217069855
Median: mb = 25.4999019589
Median: mc = 7.33663819421

Inradius: r = 2.76328487713
Circumradius: R = 31.32442503767

Vertex coordinates: A[36.9; 0] B[0; 0] C[13.78329268293; 5.66604706535]
Centroid: CG[16.89443089431; 1.88768235512]
Coordinates of the circumscribed circle: U[18.45; -25.31441494359]
Coordinates of the inscribed circle: I[14; 2.76328487713]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.2411210355° = 166°14'28″ = 0.24401361804 rad
∠ B' = β' = 157.6732674997° = 157°40'22″ = 0.39896853345 rad
∠ C' = γ' = 36.08661146473° = 36°5'10″ = 2.51217711387 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    