# 6 17 18 triangle

### Acute scalene triangle.

Sides: a = 6   b = 17   c = 18

Area: T = 50.99993872512
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 19.47109772519° = 19°28'16″ = 0.34398326616 rad
Angle ∠ B = β = 70.81098855373° = 70°48'36″ = 1.23658656456 rad
Angle ∠ C = γ = 89.71991372109° = 89°43'9″ = 1.56658943464 rad

Height: ha = 176.9997957504
Height: hb = 65.9999279119
Height: hc = 5.66765985835

Median: ma = 17.24881883107
Median: mb = 10.3880269746
Median: mc = 9.02877350426

Inradius: r = 2.48877749879
Circumradius: R = 99.0001081334

Vertex coordinates: A[18; 0] B[0; 0] C[1.97222222222; 5.66765985835]
Centroid: CG[6.65774074074; 1.88988661945]
Coordinates of the circumscribed circle: U[9; 0.04441181771]
Coordinates of the inscribed circle: I[3.5; 2.48877749879]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.5299022748° = 160°31'44″ = 0.34398326616 rad
∠ B' = β' = 109.1990114463° = 109°11'24″ = 1.23658656456 rad
∠ C' = γ' = 90.28108627891° = 90°16'51″ = 1.56658943464 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.