# 15 22 23 triangle

### Acute scalene triangle.

Sides: a = 15   b = 22   c = 23

Area: T = 158.7455078664
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 38.86223042378° = 38°51'44″ = 0.67882751639 rad
Angle ∠ B = β = 66.96443158941° = 66°57'52″ = 1.16987477937 rad
Angle ∠ C = γ = 74.17333798681° = 74°10'24″ = 1.2954569696 rad

Height: ha = 21.16660104885
Height: hb = 14.43113707876
Height: hc = 13.80439198838

Median: ma = 21.21990951739
Median: mb = 16
Median: mc = 14.90880515159

Inradius: r = 5.29215026221
Circumradius: R = 11.95331264589

Vertex coordinates: A[23; 0] B[0; 0] C[5.87695652174; 13.80439198838]
Centroid: CG[9.62331884058; 4.60113066279]
Coordinates of the circumscribed circle: U[11.5; 3.26599435797]
Coordinates of the inscribed circle: I[8; 5.29215026221]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.1387695762° = 141°8'16″ = 0.67882751639 rad
∠ B' = β' = 113.0365684106° = 113°2'8″ = 1.16987477937 rad
∠ C' = γ' = 105.8276620132° = 105°49'36″ = 1.2954569696 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.