# 14 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 22   c = 27

Area: T = 153.5122010931
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 31.12328957773° = 31°7'22″ = 0.54331970041 rad
Angle ∠ B = β = 54.31546652873° = 54°18'53″ = 0.94879697414 rad
Angle ∠ C = γ = 94.56224389353° = 94°33'45″ = 1.65504259081 rad

Height: ha = 21.93302872758
Height: hb = 13.95656373573
Height: hc = 11.37112600689

Median: ma = 23.61114379062
Median: mb = 18.48797186126
Median: mc = 12.56598566871

Inradius: r = 4.87333971724
Circumradius: R = 13.54329142475

Vertex coordinates: A[27; 0] B[0; 0] C[8.16766666667; 11.37112600689]
Centroid: CG[11.72222222222; 3.7990420023]
Coordinates of the circumscribed circle: U[13.5; -1.07772772697]
Coordinates of the inscribed circle: I[9.5; 4.87333971724]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.8777104223° = 148°52'38″ = 0.54331970041 rad
∠ B' = β' = 125.6855334713° = 125°41'7″ = 0.94879697414 rad
∠ C' = γ' = 85.43875610647° = 85°26'15″ = 1.65504259081 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.