# 9 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 22   c = 27

Area: T = 90.11110426086
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 17.662218152° = 17°39'44″ = 0.30882632206 rad
Angle ∠ B = β = 47.87325596059° = 47°52'21″ = 0.83655337865 rad
Angle ∠ C = γ = 114.4655258874° = 114°27'55″ = 1.99877956465 rad

Height: ha = 20.02546761352
Height: hb = 8.19219129644
Height: hc = 6.67548920451

Median: ma = 24.21326000256
Median: mb = 16.85222995464
Median: mc = 10.01224921973

Inradius: r = 3.10772773313
Circumradius: R = 14.83217005476

Vertex coordinates: A[27; 0] B[0; 0] C[6.0377037037; 6.67548920451]
Centroid: CG[11.0122345679; 2.2254964015]
Coordinates of the circumscribed circle: U[13.5; -6.14224214389]
Coordinates of the inscribed circle: I[7; 3.10772773313]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.338781848° = 162°20'16″ = 0.30882632206 rad
∠ B' = β' = 132.1277440394° = 132°7'39″ = 0.83655337865 rad
∠ C' = γ' = 65.53547411259° = 65°32'5″ = 1.99877956465 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.