# 12 14 22 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 14   c = 22

Area: T = 75.8954663844
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 29.52662652473° = 29°31'35″ = 0.51553305444 rad
Angle ∠ B = β = 35.09768012276° = 35°5'48″ = 0.61325547383 rad
Angle ∠ C = γ = 115.3776933525° = 115°22'37″ = 2.01437073709 rad

Height: ha = 12.64991106407
Height: hb = 10.84220948349
Height: hc = 6.98995148949

Median: ma = 17.43655957742
Median: mb = 16.27988205961
Median: mc = 7

Inradius: r = 3.16222776602
Circumradius: R = 12.17547689916

Vertex coordinates: A[22; 0] B[0; 0] C[9.81881818182; 6.98995148949]
Centroid: CG[10.60660606061; 2.32998382983]
Coordinates of the circumscribed circle: U[11; -5.21877581393]
Coordinates of the inscribed circle: I[10; 3.16222776602]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4743734753° = 150°28'25″ = 0.51553305444 rad
∠ B' = β' = 144.9033198772° = 144°54'12″ = 0.61325547383 rad
∠ C' = γ' = 64.62330664748° = 64°37'23″ = 2.01437073709 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.