# 14 17 23 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 17   c = 23

Area: T = 118.4910505949
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 37.30772854951° = 37°18'26″ = 0.65111349669 rad
Angle ∠ B = β = 47.38988944466° = 47°23'20″ = 0.8277092237 rad
Angle ∠ C = γ = 95.30438200583° = 95°18'14″ = 1.66333654497 rad

Height: ha = 16.92772151355
Height: hb = 13.94400595234
Height: hc = 10.30435222564

Median: ma = 18.9743665961
Median: mb = 17.03767250374
Median: mc = 10.5

Inradius: r = 4.38985372574
Circumradius: R = 11.54994485321

Vertex coordinates: A[23; 0] B[0; 0] C[9.47882608696; 10.30435222564]
Centroid: CG[10.82660869565; 3.43545074188]
Coordinates of the circumscribed circle: U[11.5; -1.06875960828]
Coordinates of the inscribed circle: I[10; 4.38985372574]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.6932714505° = 142°41'34″ = 0.65111349669 rad
∠ B' = β' = 132.6111105553° = 132°36'40″ = 0.8277092237 rad
∠ C' = γ' = 84.69661799417° = 84°41'46″ = 1.66333654497 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.