# 11 18 27 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 18   c = 27

Area: T = 68.99327532426
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 16.49443501306° = 16°29'40″ = 0.28878807178 rad
Angle ∠ B = β = 27.68441867241° = 27°41'3″ = 0.48331802091 rad
Angle ∠ C = γ = 135.8211463145° = 135°49'17″ = 2.37105317268 rad

Height: ha = 12.54441369532
Height: hb = 7.66658614714
Height: hc = 5.11105743143

Median: ma = 22.27766694099
Median: mb = 18.5477236991
Median: mc = 6.34442887702

Inradius: r = 2.46440269015
Circumradius: R = 19.37215997287

Vertex coordinates: A[27; 0] B[0; 0] C[9.74107407407; 5.11105743143]
Centroid: CG[12.24769135802; 1.70435247714]
Coordinates of the circumscribed circle: U[13.5; -13.89327634418]
Coordinates of the inscribed circle: I[10; 2.46440269015]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.5065649869° = 163°30'20″ = 0.28878807178 rad
∠ B' = β' = 152.3165813276° = 152°18'57″ = 0.48331802091 rad
∠ C' = γ' = 44.17985368546° = 44°10'43″ = 2.37105317268 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.