# 10 17 19 triangle

### Acute scalene triangle.

Sides: a = 10   b = 17   c = 19

Area: T = 84.71112743382
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 31.63664748535° = 31°38'11″ = 0.55221606499 rad
Angle ∠ B = β = 63.08773509057° = 63°5'14″ = 1.10110819897 rad
Angle ∠ C = γ = 85.27661742408° = 85°16'34″ = 1.4888350014 rad

Height: ha = 16.94222548676
Height: hb = 9.96660322751
Height: hc = 8.91769762461

Median: ma = 17.32105080757
Median: mb = 12.58797456254
Median: mc = 10.21102889283

Inradius: r = 3.68330988843
Circumradius: R = 9.53223793239

Vertex coordinates: A[19; 0] B[0; 0] C[4.52663157895; 8.91769762461]
Centroid: CG[7.84221052632; 2.97223254154]
Coordinates of the circumscribed circle: U[9.5; 0.78550194737]
Coordinates of the inscribed circle: I[6; 3.68330988843]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.3643525146° = 148°21'49″ = 0.55221606499 rad
∠ B' = β' = 116.9132649094° = 116°54'46″ = 1.10110819897 rad
∠ C' = γ' = 94.72438257592° = 94°43'26″ = 1.4888350014 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.