# 23 24 27 triangle

### Acute scalene triangle.

Sides: a = 23   b = 24   c = 27

Area: T = 259.5499518304
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 53.21884706925° = 53°13'6″ = 0.92988375365 rad
Angle ∠ B = β = 56.69437263788° = 56°41'37″ = 0.98994921905 rad
Angle ∠ C = γ = 70.08878029287° = 70°5'16″ = 1.22332629266 rad

Height: ha = 22.56551755047
Height: hb = 21.62549598587
Height: hc = 19.2222186541

Median: ma = 22.80989894559
Median: mb = 22.02327155455
Median: mc = 19.24218814049

Inradius: r = 7.01435004947
Circumradius: R = 14.35884081556

Vertex coordinates: A[27; 0] B[0; 0] C[12.63296296296; 19.2222186541]
Centroid: CG[13.21098765432; 6.40773955137]
Coordinates of the circumscribed circle: U[13.5; 4.89901824878]
Coordinates of the inscribed circle: I[13; 7.01435004947]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.7821529308° = 126°46'54″ = 0.92988375365 rad
∠ B' = β' = 123.3066273621° = 123°18'23″ = 0.98994921905 rad
∠ C' = γ' = 109.9122197071° = 109°54'44″ = 1.22332629266 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.