# 12 17 19 triangle

### Acute scalene triangle.

Sides: a = 12   b = 17   c = 19

Area: T = 100.3999203184
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 38.43879622531° = 38°26'17″ = 0.67108689991 rad
Angle ∠ B = β = 61.72662863686° = 61°43'35″ = 1.07773269322 rad
Angle ∠ C = γ = 79.83657513783° = 79°50'9″ = 1.39333967224 rad

Height: ha = 16.73332005307
Height: hb = 11.81216709628
Height: hc = 10.56883371773

Median: ma = 17
Median: mb = 13.42657215821
Median: mc = 11.23661025271

Inradius: r = 4.18333001327
Circumradius: R = 9.65114710204

Vertex coordinates: A[19; 0] B[0; 0] C[5.68442105263; 10.56883371773]
Centroid: CG[8.22880701754; 3.52327790591]
Coordinates of the circumscribed circle: U[9.5; 1.70332007683]
Coordinates of the inscribed circle: I[7; 4.18333001327]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.5622037747° = 141°33'43″ = 0.67108689991 rad
∠ B' = β' = 118.2743713631° = 118°16'25″ = 1.07773269322 rad
∠ C' = γ' = 100.1644248622° = 100°9'51″ = 1.39333967224 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.