# 9 23 30 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 23   c = 30

Area: T = 73.86547412505
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 12.36327726659° = 12°21'46″ = 0.21657710877 rad
Angle ∠ B = β = 33.17114519508° = 33°10'17″ = 0.57989510542 rad
Angle ∠ C = γ = 134.4665775383° = 134°27'57″ = 2.34768705117 rad

Height: ha = 16.41443869446
Height: hb = 6.42330209783
Height: hc = 4.92443160834

Median: ma = 26.34986242525
Median: mb = 18.92774932307
Median: mc = 8.944427191

Inradius: r = 2.38327335887
Circumradius: R = 21.01881471392

Vertex coordinates: A[30; 0] B[0; 0] C[7.53333333333; 4.92443160834]
Centroid: CG[12.51111111111; 1.64114386945]
Coordinates of the circumscribed circle: U[15; -14.72328566917]
Coordinates of the inscribed circle: I[8; 2.38327335887]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.6377227334° = 167°38'14″ = 0.21657710877 rad
∠ B' = β' = 146.8298548049° = 146°49'43″ = 0.57989510542 rad
∠ C' = γ' = 45.53442246167° = 45°32'3″ = 2.34768705117 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.