# 10 20 22 triangle

### Acute scalene triangle.

Sides: a = 10   b = 20   c = 22

Area: T = 99.92199679744
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 27.01222939589° = 27°44″ = 0.47114534681 rad
Angle ∠ B = β = 65.28801488171° = 65°16'49″ = 1.13993535331 rad
Angle ∠ C = γ = 87.7087557224° = 87°42'27″ = 1.53107856524 rad

Height: ha = 19.98439935949
Height: hb = 9.99219967974
Height: hc = 9.08436334522

Median: ma = 20.42105778567
Median: mb = 13.85664064606
Median: mc = 11.35878166916

Inradius: r = 3.84330756913
Circumradius: R = 11.00988105741

Vertex coordinates: A[22; 0] B[0; 0] C[4.18218181818; 9.08436334522]
Centroid: CG[8.72772727273; 3.02878778174]
Coordinates of the circumscribed circle: U[11; 0.4440352423]
Coordinates of the inscribed circle: I[6; 3.84330756913]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9887706041° = 152°59'16″ = 0.47114534681 rad
∠ B' = β' = 114.7219851183° = 114°43'11″ = 1.13993535331 rad
∠ C' = γ' = 92.2922442776° = 92°17'33″ = 1.53107856524 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.