# 10 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 22   c = 27

Area: T = 103.8555368181
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 20.46878277899° = 20°28'4″ = 0.35772309857 rad
Angle ∠ B = β = 50.29109834469° = 50°17'28″ = 0.87877432452 rad
Angle ∠ C = γ = 109.2411188763° = 109°14'28″ = 1.90766184227 rad

Height: ha = 20.77110736362
Height: hb = 9.44113971074
Height: hc = 7.69329902356

Median: ma = 24.11443111036
Median: mb = 17.1321841699
Median: mc = 10.47661634199

Inradius: r = 3.52105209553
Circumradius: R = 14.29987312645

Vertex coordinates: A[27; 0] B[0; 0] C[6.38988888889; 7.69329902356]
Centroid: CG[11.13296296296; 2.56443300785]
Coordinates of the circumscribed circle: U[13.5; -4.7122081894]
Coordinates of the inscribed circle: I[7.5; 3.52105209553]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.532217221° = 159°31'56″ = 0.35772309857 rad
∠ B' = β' = 129.7099016553° = 129°42'32″ = 0.87877432452 rad
∠ C' = γ' = 70.75988112369° = 70°45'32″ = 1.90766184227 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.