# 22 22 23 triangle

### Acute isosceles triangle.

Sides: a = 22   b = 22   c = 23

Area: T = 215.6822492335
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 58.48546299979° = 58°29'5″ = 1.02107493553 rad
Angle ∠ B = β = 58.48546299979° = 58°29'5″ = 1.02107493553 rad
Angle ∠ C = γ = 63.03107400042° = 63°1'51″ = 1.1100093943 rad

Height: ha = 19.60774993032
Height: hb = 19.60774993032
Height: hc = 18.75549993335

Median: ma = 19.63441539161
Median: mb = 19.63441539161
Median: mc = 18.75549993335

Inradius: r = 6.43882833533
Circumradius: R = 12.9033226265

Vertex coordinates: A[23; 0] B[0; 0] C[11.5; 18.75549993335]
Centroid: CG[11.5; 6.25216664445]
Coordinates of the circumscribed circle: U[11.5; 5.85217730685]
Coordinates of the inscribed circle: I[11.5; 6.43882833533]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.5155370002° = 121°30'55″ = 1.02107493553 rad
∠ B' = β' = 121.5155370002° = 121°30'55″ = 1.02107493553 rad
∠ C' = γ' = 116.9699259996° = 116°58'9″ = 1.1100093943 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.