# 13 14 16 triangle

### Acute scalene triangle.

Sides: a = 13   b = 14   c = 16

Area: T = 86.82441757807
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 50.82546068485° = 50°49'29″ = 0.88770567305 rad
Angle ∠ B = β = 56.65999979997° = 56°36' = 0.98878563217 rad
Angle ∠ C = γ = 72.57553951518° = 72°34'31″ = 1.26766796013 rad

Height: ha = 13.35875655047
Height: hb = 12.4033453683
Height: hc = 10.85330219726

Median: ma = 13.55554417117
Median: mb = 12.78767118525
Median: mc = 10.88657705285

Inradius: r = 4.03883337572
Circumradius: R = 8.38547614268

Vertex coordinates: A[16; 0] B[0; 0] C[7.156625; 10.85330219726]
Centroid: CG[7.719875; 3.61876739909]
Coordinates of the circumscribed circle: U[8; 2.51108214163]
Coordinates of the inscribed circle: I[7.5; 4.03883337572]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.1755393151° = 129°10'31″ = 0.88770567305 rad
∠ B' = β' = 123.4400002° = 123°24' = 0.98878563217 rad
∠ C' = γ' = 107.4254604848° = 107°25'29″ = 1.26766796013 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.