# 8 20 27 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 20   c = 27

Area: T = 44.84334777866
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 9.56603836944° = 9°33'37″ = 0.16768601732 rad
Angle ∠ B = β = 24.5333007117° = 24°31'59″ = 0.42881817496 rad
Angle ∠ C = γ = 145.9076609189° = 145°54'24″ = 2.54765507308 rad

Height: ha = 11.21108694467
Height: hb = 4.48443477787
Height: hc = 3.32217390953

Median: ma = 23.42200768573
Median: mb = 17.21991753577
Median: mc = 7.05333679898

Inradius: r = 1.63106719195
Circumradius: R = 24.08437698882

Vertex coordinates: A[27; 0] B[0; 0] C[7.27877777778; 3.32217390953]
Centroid: CG[11.42659259259; 1.10772463651]
Coordinates of the circumscribed circle: U[13.5; -19.94443719387]
Coordinates of the inscribed circle: I[7.5; 1.63106719195]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.4439616306° = 170°26'23″ = 0.16768601732 rad
∠ B' = β' = 155.4676992883° = 155°28'1″ = 0.42881817496 rad
∠ C' = γ' = 34.09333908114° = 34°5'36″ = 2.54765507308 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.