# 9 24 30 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 24   c = 30

Area: T = 89.29441067484
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 14.36215115629° = 14°21'41″ = 0.25106556623 rad
Angle ∠ B = β = 41.41096221093° = 41°24'35″ = 0.72327342478 rad
Angle ∠ C = γ = 124.2298866328° = 124°13'44″ = 2.16882027434 rad

Height: ha = 19.8433134833
Height: hb = 7.44111755624
Height: hc = 5.95329404499

Median: ma = 26.79108566492
Median: mb = 18.6154510469
Median: mc = 10.17334949747

Inradius: r = 2.83547335476
Circumradius: R = 18.14222947044

Vertex coordinates: A[30; 0] B[0; 0] C[6.75; 5.95329404499]
Centroid: CG[12.25; 1.98443134833]
Coordinates of the circumscribed circle: U[15; -10.20550407712]
Coordinates of the inscribed circle: I[7.5; 2.83547335476]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.6388488437° = 165°38'19″ = 0.25106556623 rad
∠ B' = β' = 138.5990377891° = 138°35'25″ = 0.72327342478 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.