# 16 24 30 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 24   c = 30

Area: T = 191.2465914989
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 32.08991838633° = 32°5'21″ = 0.56600619127 rad
Angle ∠ B = β = 52.8311100344° = 52°49'52″ = 0.92220766485 rad
Angle ∠ C = γ = 95.08797157927° = 95°4'47″ = 1.65994540924 rad

Height: ha = 23.90657393736
Height: hb = 15.93771595824
Height: hc = 12.75497276659

Median: ma = 25.96215099715
Median: mb = 20.8332666656
Median: mc = 13.82202749611

Inradius: r = 5.46441689997
Circumradius: R = 15.05991451857

Vertex coordinates: A[30; 0] B[0; 0] C[9.66766666667; 12.75497276659]
Centroid: CG[13.22222222222; 4.2549909222]
Coordinates of the circumscribed circle: U[15; -1.33333618133]
Coordinates of the inscribed circle: I[11; 5.46441689997]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.9110816137° = 147°54'39″ = 0.56600619127 rad
∠ B' = β' = 127.1698899656° = 127°10'8″ = 0.92220766485 rad
∠ C' = γ' = 84.92202842073° = 84°55'13″ = 1.65994540924 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.