# 23 23 27 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 23   c = 27

Area: T = 251.3876530069
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 54.05986701088° = 54°3'31″ = 0.94435017826 rad
Angle ∠ B = β = 54.05986701088° = 54°3'31″ = 0.94435017826 rad
Angle ∠ C = γ = 71.88326597825° = 71°52'58″ = 1.25545890883 rad

Height: ha = 21.86596982668
Height: hb = 21.86596982668
Height: hc = 18.62112244495

Median: ma = 22.2887889088
Median: mb = 22.2887889088
Median: mc = 18.62112244495

Inradius: r = 6.88773021937
Circumradius: R = 14.20442216782

Vertex coordinates: A[27; 0] B[0; 0] C[13.5; 18.62112244495]
Centroid: CG[13.5; 6.20770748165]
Coordinates of the circumscribed circle: U[13.5; 4.41770027714]
Coordinates of the inscribed circle: I[13.5; 6.88773021937]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.9411329891° = 125°56'29″ = 0.94435017826 rad
∠ B' = β' = 125.9411329891° = 125°56'29″ = 0.94435017826 rad
∠ C' = γ' = 108.1177340218° = 108°7'2″ = 1.25545890883 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.