# 11 17 19 triangle

### Acute scalene triangle.

Sides: a = 11   b = 17   c = 19

Area: T = 92.69440532073
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 35.02766219513° = 35°1'36″ = 0.61113298789 rad
Angle ∠ B = β = 62.5021687524° = 62°30'6″ = 1.09108602353 rad
Angle ∠ C = γ = 82.47216905248° = 82°28'18″ = 1.43994025393 rad

Height: ha = 16.85334642195
Height: hb = 10.90551827303
Height: hc = 9.75772687587

Median: ma = 17.16882847134
Median: mb = 12.99903810568
Median: mc = 10.71221426428

Inradius: r = 3.94444277961
Circumradius: R = 9.58325996303

Vertex coordinates: A[19; 0] B[0; 0] C[5.07989473684; 9.75772687587]
Centroid: CG[8.02663157895; 3.25224229196]
Coordinates of the circumscribed circle: U[9.5; 1.25554742831]
Coordinates of the inscribed circle: I[6.5; 3.94444277961]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.9733378049° = 144°58'24″ = 0.61113298789 rad
∠ B' = β' = 117.4988312476° = 117°29'54″ = 1.09108602353 rad
∠ C' = γ' = 97.52883094752° = 97°31'42″ = 1.43994025393 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.