# 3 14 16 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 14   c = 16

Area: T = 16.6866446596
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 8.56881759081° = 8°34'5″ = 0.15495428805 rad
Angle ∠ B = β = 44.04986256741° = 44°2'55″ = 0.7698793549 rad
Angle ∠ C = γ = 127.3833198418° = 127°23' = 2.22332562241 rad

Height: ha = 11.12442977306
Height: hb = 2.38437780851
Height: hc = 2.08658058245

Median: ma = 14.95882753017
Median: mb = 9.13878334412
Median: mc = 6.2054836823

Inradius: r = 1.01112997937
Circumradius: R = 10.06880512795

Vertex coordinates: A[16; 0] B[0; 0] C[2.156625; 2.08658058245]
Centroid: CG[6.05220833333; 0.69552686082]
Coordinates of the circumscribed circle: U[8; -6.11327454197]
Coordinates of the inscribed circle: I[2.5; 1.01112997937]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.4321824092° = 171°25'55″ = 0.15495428805 rad
∠ B' = β' = 135.9511374326° = 135°57'5″ = 0.7698793549 rad
∠ C' = γ' = 52.61768015821° = 52°37' = 2.22332562241 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.