# 12 22 23 triangle

### Acute scalene triangle.

Sides: a = 12   b = 22   c = 23

Area: T = 129.6598927575
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 30.83295552644° = 30°49'46″ = 0.53880772463 rad
Angle ∠ B = β = 69.97773676104° = 69°58'39″ = 1.22113354667 rad
Angle ∠ C = γ = 79.19330771251° = 79°11'35″ = 1.38221799406 rad

Height: ha = 21.61098212626
Height: hb = 11.78771752341
Height: hc = 11.27546893544

Median: ma = 21.69110119635
Median: mb = 14.68799182559
Median: mc = 13.48114687627

Inradius: r = 4.54994360553
Circumradius: R = 11.70876396388

Vertex coordinates: A[23; 0] B[0; 0] C[4.10986956522; 11.27546893544]
Centroid: CG[9.03662318841; 3.75882297848]
Coordinates of the circumscribed circle: U[11.5; 2.19551824323]
Coordinates of the inscribed circle: I[6.5; 4.54994360553]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.1770444736° = 149°10'14″ = 0.53880772463 rad
∠ B' = β' = 110.023263239° = 110°1'21″ = 1.22113354667 rad
∠ C' = γ' = 100.8076922875° = 100°48'25″ = 1.38221799406 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.