# 11 24 30 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 24   c = 30

Area: T = 121.8544164886
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 19.78545253448° = 19°47'4″ = 0.34553051082 rad
Angle ∠ B = β = 47.60546523044° = 47°36'17″ = 0.8310857922 rad
Angle ∠ C = γ = 112.6110822351° = 112°36'39″ = 1.96554296234 rad

Height: ha = 22.15553027065
Height: hb = 10.15545137405
Height: hc = 8.12436109924

Median: ma = 26.60435711888
Median: mb = 19.14441897191
Median: mc = 11.11330553854

Inradius: r = 3.74993589196
Circumradius: R = 16.24989316788

Vertex coordinates: A[30; 0] B[0; 0] C[7.41766666667; 8.12436109924]
Centroid: CG[12.47222222222; 2.70878703308]
Coordinates of the circumscribed circle: U[15; -6.24772218386]
Coordinates of the inscribed circle: I[8.5; 3.74993589196]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.2155474655° = 160°12'56″ = 0.34553051082 rad
∠ B' = β' = 132.3955347696° = 132°23'43″ = 0.8310857922 rad
∠ C' = γ' = 67.38991776492° = 67°23'21″ = 1.96554296234 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.