# 12 14 16 triangle

### Acute scalene triangle.

Sides: a = 12   b = 14   c = 16

Area: T = 81.33326502704
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ B = β = 57.91100487437° = 57°54'36″ = 1.01107210206 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 13.55554417117
Height: hb = 11.61989500386
Height: hc = 10.16765812838

Median: ma = 13.78440487521
Median: mb = 12.28882057274
Median: mc = 10.2965630141

Inradius: r = 3.87329833462
Circumradius: R = 8.26223644719

Vertex coordinates: A[16; 0] B[0; 0] C[6.375; 10.16765812838]
Centroid: CG[7.45883333333; 3.38988604279]
Coordinates of the circumscribed circle: U[8; 2.0665591118]
Coordinates of the inscribed circle: I[7; 3.87329833462]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ B' = β' = 122.0989951256° = 122°5'24″ = 1.01107210206 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.