# 19 23 23 triangle

### Acute isosceles triangle.

Sides: a = 19   b = 23   c = 23

Area: T = 198.9990420624
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 48.79223305655° = 48°47'32″ = 0.85215868181 rad
Angle ∠ B = β = 65.60438347173° = 65°36'14″ = 1.14550029178 rad
Angle ∠ C = γ = 65.60438347173° = 65°36'14″ = 1.14550029178 rad

Height: ha = 20.94663600657
Height: hb = 17.30435148368
Height: hc = 17.30435148368

Median: ma = 20.94663600657
Median: mb = 17.68547391838
Median: mc = 17.68547391838

Inradius: r = 6.1232782173
Circumradius: R = 12.62774922789

Vertex coordinates: A[23; 0] B[0; 0] C[7.8487826087; 17.30435148368]
Centroid: CG[10.28326086957; 5.76878382789]
Coordinates of the circumscribed circle: U[11.5; 5.21657033326]
Coordinates of the inscribed circle: I[9.5; 6.1232782173]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.2087669435° = 131°12'28″ = 0.85215868181 rad
∠ B' = β' = 114.3966165283° = 114°23'46″ = 1.14550029178 rad
∠ C' = γ' = 114.3966165283° = 114°23'46″ = 1.14550029178 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.