# 4 12 14 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 12   c = 14

Area: T = 22.24985954613
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 15.35988855808° = 15°21'32″ = 0.26880631228 rad
Angle ∠ B = β = 52.61768015821° = 52°37' = 0.91883364295 rad
Angle ∠ C = γ = 112.0244312837° = 112°1'28″ = 1.95551931013 rad

Height: ha = 11.12442977306
Height: hb = 3.70880992435
Height: hc = 3.17883707802

Median: ma = 12.88440987267
Median: mb = 8.36766002653
Median: mc = 5.56877643628

Inradius: r = 1.48332396974
Circumradius: R = 7.55110384596

Vertex coordinates: A[14; 0] B[0; 0] C[2.42985714286; 3.17883707802]
Centroid: CG[5.47661904762; 1.05994569267]
Coordinates of the circumscribed circle: U[7; -2.83216394223]
Coordinates of the inscribed circle: I[3; 1.48332396974]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.6411114419° = 164°38'28″ = 0.26880631228 rad
∠ B' = β' = 127.3833198418° = 127°23' = 0.91883364295 rad
∠ C' = γ' = 67.9765687163° = 67°58'32″ = 1.95551931013 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.