# 19 22 27 triangle

### Acute scalene triangle.

Sides: a = 19   b = 22   c = 27

Area: T = 206.9788259728
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 44.17985368546° = 44°10'43″ = 0.77110609268 rad
Angle ∠ B = β = 53.79773297664° = 53°47'50″ = 0.93989405332 rad
Angle ∠ C = γ = 82.02441333789° = 82°1'27″ = 1.43215911936 rad

Height: ha = 21.78771852345
Height: hb = 18.81662054298
Height: hc = 15.33217229428

Median: ma = 22.7211135535
Median: mb = 20.5911260282
Median: mc = 15.5

Inradius: r = 6.08875958744
Circumradius: R = 13.63218664758

Vertex coordinates: A[27; 0] B[0; 0] C[11.22222222222; 15.33217229428]
Centroid: CG[12.74107407407; 5.11105743143]
Coordinates of the circumscribed circle: U[13.5; 1.89215030038]
Coordinates of the inscribed circle: I[12; 6.08875958744]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.8211463145° = 135°49'17″ = 0.77110609268 rad
∠ B' = β' = 126.2032670234° = 126°12'10″ = 0.93989405332 rad
∠ C' = γ' = 97.97658666211° = 97°58'33″ = 1.43215911936 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.