# 23 29 30 triangle

### Acute scalene triangle.

Sides: a = 23   b = 29   c = 30

Area: T = 312.1155363287
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 45.84990010993° = 45°50'56″ = 0.88002160279 rad
Angle ∠ B = β = 64.78105163713° = 64°46'50″ = 1.13106333018 rad
Angle ∠ C = γ = 69.37704825295° = 69°22'14″ = 1.21107433238 rad

Height: ha = 27.14404663728
Height: hb = 21.52551974681
Height: hc = 20.80876908858

Median: ma = 27.17107563384
Median: mb = 22.45655115729
Median: mc = 21.44876105895

Inradius: r = 7.61325698363
Circumradius: R = 16.02877275278

Vertex coordinates: A[30; 0] B[0; 0] C[9.8; 20.80876908858]
Centroid: CG[13.26766666667; 6.93658969619]
Coordinates of the circumscribed circle: U[15; 5.64769504783]
Coordinates of the inscribed circle: I[12; 7.61325698363]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.1510998901° = 134°9'4″ = 0.88002160279 rad
∠ B' = β' = 115.2199483629° = 115°13'10″ = 1.13106333018 rad
∠ C' = γ' = 110.6329517471° = 110°37'46″ = 1.21107433238 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.