# 14 23 30 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 23   c = 30

Area: T = 154.9421722915
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 26.68663687174° = 26°41'11″ = 0.46657649995 rad
Angle ∠ B = β = 47.54658497956° = 47°32'45″ = 0.83298316246 rad
Angle ∠ C = γ = 105.7687781487° = 105°46'4″ = 1.84659960295 rad

Height: ha = 22.13545318451
Height: hb = 13.4733193297
Height: hc = 10.32994481944

Median: ma = 25.7977286679
Median: mb = 20.39899485041
Median: mc = 11.72660393996

Inradius: r = 4.62551260572
Circumradius: R = 15.58765053941

Vertex coordinates: A[30; 0] B[0; 0] C[9.45; 10.32994481944]
Centroid: CG[13.15; 3.44331493981]
Coordinates of the circumscribed circle: U[15; -4.23554634223]
Coordinates of the inscribed circle: I[10.5; 4.62551260572]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.3143631283° = 153°18'49″ = 0.46657649995 rad
∠ B' = β' = 132.4544150204° = 132°27'15″ = 0.83298316246 rad
∠ C' = γ' = 74.2322218513° = 74°13'56″ = 1.84659960295 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.