# 13 24 30 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 24   c = 30

Area: T = 151.1110679636
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 24.81989241279° = 24°49'8″ = 0.43331719428 rad
Angle ∠ B = β = 50.79883749279° = 50°47'54″ = 0.88765988972 rad
Angle ∠ C = γ = 104.3832700944° = 104°22'58″ = 1.82218218136 rad

Height: ha = 23.2487796867
Height: hb = 12.59325566363
Height: hc = 10.07440453091

Median: ma = 26.37770733782
Median: mb = 19.76110728454
Median: mc = 12.14549578015

Inradius: r = 4.51107665563
Circumradius: R = 15.48553383337

Vertex coordinates: A[30; 0] B[0; 0] C[8.21766666667; 10.07440453091]
Centroid: CG[12.73988888889; 3.3588015103]
Coordinates of the circumscribed circle: U[15; -3.84765183361]
Coordinates of the inscribed circle: I[9.5; 4.51107665563]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.1811075872° = 155°10'52″ = 0.43331719428 rad
∠ B' = β' = 129.2021625072° = 129°12'6″ = 0.88765988972 rad
∠ C' = γ' = 75.61772990558° = 75°37'2″ = 1.82218218136 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.