# 4 23 23 triangle

### Acute isosceles triangle.

Sides: a = 4   b = 23   c = 23

Area: T = 45.82657569496
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 9.97770839511° = 9°58'37″ = 0.17441329647 rad
Angle ∠ B = β = 85.01114580244° = 85°41″ = 1.48437298444 rad
Angle ∠ C = γ = 85.01114580244° = 85°41″ = 1.48437298444 rad

Height: ha = 22.91328784748
Height: hb = 3.98548484304
Height: hc = 3.98548484304

Median: ma = 22.91328784748
Median: mb = 11.84327192823
Median: mc = 11.84327192823

Inradius: r = 1.8333030278
Circumradius: R = 11.54437263935

Vertex coordinates: A[23; 0] B[0; 0] C[0.3487826087; 3.98548484304]
Centroid: CG[7.78326086957; 1.32882828101]
Coordinates of the circumscribed circle: U[11.5; 1.00438022951]
Coordinates of the inscribed circle: I[2; 1.8333030278]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.0232916049° = 170°1'23″ = 0.17441329647 rad
∠ B' = β' = 94.98985419756° = 94°59'19″ = 1.48437298444 rad
∠ C' = γ' = 94.98985419756° = 94°59'19″ = 1.48437298444 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.