# 12 14 17 triangle

### Acute scalene triangle.

Sides: a = 12   b = 14   c = 17

Area: T = 83.02767276243
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 44.24330521173° = 44°14'35″ = 0.77221869306 rad
Angle ∠ B = β = 54.48773733986° = 54°29'15″ = 0.95109840666 rad
Angle ∠ C = γ = 81.27695744841° = 81°16'10″ = 1.41884216564 rad

Height: ha = 13.83877879374
Height: hb = 11.86109610892
Height: hc = 9.76878503087

Median: ma = 14.37701078632
Median: mb = 12.94221791055
Median: mc = 9.88768599666

Inradius: r = 3.86217082616
Circumradius: R = 8.65996403861

Vertex coordinates: A[17; 0] B[0; 0] C[6.97105882353; 9.76878503087]
Centroid: CG[7.99901960784; 3.25659501029]
Coordinates of the circumscribed circle: U[8.5; 1.30553025586]
Coordinates of the inscribed circle: I[7.5; 3.86217082616]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.7576947883° = 135°45'25″ = 0.77221869306 rad
∠ B' = β' = 125.5132626601° = 125°30'45″ = 0.95109840666 rad
∠ C' = γ' = 98.73304255159° = 98°43'50″ = 1.41884216564 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.