# 6 21 22 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 21   c = 22

Area: T = 62.97656897541
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 15.82203528829° = 15°49'13″ = 0.27661172466 rad
Angle ∠ B = β = 72.58878929405° = 72°35'16″ = 1.26768977289 rad
Angle ∠ C = γ = 91.59217541766° = 91°35'30″ = 1.59985776781 rad

Height: ha = 20.99218965847
Height: hb = 5.99876847385
Height: hc = 5.72550627049

Median: ma = 21.2965539439
Median: mb = 12.23772382505
Median: mc = 10.84397416943

Inradius: r = 2.57704363165
Circumradius: R = 11.00442462847

Vertex coordinates: A[22; 0] B[0; 0] C[1.79554545455; 5.72550627049]
Centroid: CG[7.93218181818; 1.9088354235]
Coordinates of the circumscribed circle: U[11; -0.30656735079]
Coordinates of the inscribed circle: I[3.5; 2.57704363165]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.1879647117° = 164°10'47″ = 0.27661172466 rad
∠ B' = β' = 107.412210706° = 107°24'44″ = 1.26768977289 rad
∠ C' = γ' = 88.40882458234° = 88°24'30″ = 1.59985776781 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.