# 5 10 14 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 10   c = 14

Area: T = 17.60550418915
Perimeter: p = 29
Semiperimeter: s = 14.5

Angle ∠ A = α = 14.56663276483° = 14°33'59″ = 0.25442303774 rad
Angle ∠ B = β = 30.1998757023° = 30°11'56″ = 0.52770677401 rad
Angle ∠ C = γ = 135.2354915329° = 135°14'6″ = 2.36602945361 rad

Height: ha = 7.04220167566
Height: hb = 3.52110083783
Height: hc = 2.51550059845

Median: ma = 11.90658808998
Median: mb = 9.24766210045
Median: mc = 3.67442346142

Inradius: r = 1.21441408201
Circumradius: R = 9.94403341997

Vertex coordinates: A[14; 0] B[0; 0] C[4.32114285714; 2.51550059845]
Centroid: CG[6.10771428571; 0.83883353282]
Coordinates of the circumscribed circle: U[7; -7.05876372818]
Coordinates of the inscribed circle: I[4.5; 1.21441408201]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.4343672352° = 165°26'1″ = 0.25442303774 rad
∠ B' = β' = 149.8011242977° = 149°48'4″ = 0.52770677401 rad
∠ C' = γ' = 44.76550846713° = 44°45'54″ = 2.36602945361 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.