# 23 27 30 triangle

### Acute scalene triangle.

Sides: a = 23   b = 27   c = 30

Area: T = 297.3211374946
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 47.23334876223° = 47°14'1″ = 0.82443798762 rad
Angle ∠ B = β = 59.51994142744° = 59°31'10″ = 1.03988097479 rad
Angle ∠ C = γ = 73.24770981033° = 73°14'50″ = 1.27884030294 rad

Height: ha = 25.8544032604
Height: hb = 22.02438055516
Height: hc = 19.82114249964

Median: ma = 26.12199157732
Median: mb = 23.07105439901
Median: mc = 20.10997512422

Inradius: r = 7.43330343737
Circumradius: R = 15.66548676902

Vertex coordinates: A[30; 0] B[0; 0] C[11.66766666667; 19.82114249964]
Centroid: CG[13.88988888889; 6.60771416655]
Coordinates of the circumscribed circle: U[15; 4.51553161297]
Coordinates of the inscribed circle: I[13; 7.43330343737]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.7676512378° = 132°45'59″ = 0.82443798762 rad
∠ B' = β' = 120.4810585726° = 120°28'50″ = 1.03988097479 rad
∠ C' = γ' = 106.7532901897° = 106°45'10″ = 1.27884030294 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.