# 17 19 23 triangle

### Acute scalene triangle.

Sides: a = 17   b = 19   c = 23

Area: T = 158.6421695339
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 46.5566178098° = 46°33'22″ = 0.8132558595 rad
Angle ∠ B = β = 54.23994581681° = 54°14'22″ = 0.94766571295 rad
Angle ∠ C = γ = 79.20443637339° = 79°12'16″ = 1.38223769291 rad

Height: ha = 18.66437288634
Height: hb = 16.69991258251
Height: hc = 13.79549300295

Median: ma = 19.30767345763
Median: mb = 17.85435710714
Median: mc = 13.88334433769

Inradius: r = 5.37876845878
Circumradius: R = 11.70771996491

Vertex coordinates: A[23; 0] B[0; 0] C[9.93547826087; 13.79549300295]
Centroid: CG[10.97882608696; 4.59883100098]
Coordinates of the circumscribed circle: U[11.5; 2.19328346092]
Coordinates of the inscribed circle: I[10.5; 5.37876845878]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4443821902° = 133°26'38″ = 0.8132558595 rad
∠ B' = β' = 125.7610541832° = 125°45'38″ = 0.94766571295 rad
∠ C' = γ' = 100.7965636266° = 100°47'44″ = 1.38223769291 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.