# 12 14 23 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 14   c = 23

Area: T = 69.45109719154
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 25.55546937848° = 25°33'17″ = 0.44660135459 rad
Angle ∠ B = β = 30.21664398874° = 30°12'59″ = 0.52773763643 rad
Angle ∠ C = γ = 124.2298866328° = 124°13'44″ = 2.16882027434 rad

Height: ha = 11.57551619859
Height: hb = 9.92215674165
Height: hc = 6.03992149492

Median: ma = 18.06993109996
Median: mb = 16.95658249578
Median: mc = 6.14441028637

Inradius: r = 2.83547335476
Circumradius: R = 13.90990926067

Vertex coordinates: A[23; 0] B[0; 0] C[10.37695652174; 6.03992149492]
Centroid: CG[11.12331884058; 2.01330716497]
Coordinates of the circumscribed circle: U[11.5; -7.82438645913]
Coordinates of the inscribed circle: I[10.5; 2.83547335476]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.4455306215° = 154°26'43″ = 0.44660135459 rad
∠ B' = β' = 149.7843560113° = 149°47'1″ = 0.52773763643 rad
∠ C' = γ' = 55.77111336722° = 55°46'16″ = 2.16882027434 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.