# 17 18 27 triangle

### Obtuse scalene triangle.

Sides: a = 17   b = 18   c = 27

Area: T = 150.2266495666
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 38.18659763611° = 38°11'10″ = 0.66664710156 rad
Angle ∠ B = β = 40.88879383595° = 40°53'17″ = 0.71436291487 rad
Angle ∠ C = γ = 100.9266085279° = 100°55'34″ = 1.76114924893 rad

Height: ha = 17.67437053724
Height: hb = 16.69218328517
Height: hc = 11.12878885678

Median: ma = 21.31331414859
Median: mb = 20.68881608656
Median: mc = 11.14767484048

Inradius: r = 4.84660159892
Circumradius: R = 13.74992390463

Vertex coordinates: A[27; 0] B[0; 0] C[12.85218518519; 11.12878885678]
Centroid: CG[13.28439506173; 3.70992961893]
Coordinates of the circumscribed circle: U[13.5; -2.60660649173]
Coordinates of the inscribed circle: I[13; 4.84660159892]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.8144023639° = 141°48'50″ = 0.66664710156 rad
∠ B' = β' = 139.112206164° = 139°6'43″ = 0.71436291487 rad
∠ C' = γ' = 79.07439147206° = 79°4'26″ = 1.76114924893 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.