# 12 13 24 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 13   c = 24

Area: T = 41.9643525829
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 15.60545888784° = 15°36'17″ = 0.27223514543 rad
Angle ∠ B = β = 16.94325916094° = 16°56'33″ = 0.29657040074 rad
Angle ∠ C = γ = 147.4532819512° = 147°27'10″ = 2.57435371918 rad

Height: ha = 6.99439209715
Height: hb = 6.45659270506
Height: hc = 3.49769604857

Median: ma = 18.34439363278
Median: mb = 17.826554347
Median: mc = 3.53655339059

Inradius: r = 1.71327969726
Circumradius: R = 22.30550847494

Vertex coordinates: A[24; 0] B[0; 0] C[11.47991666667; 3.49769604857]
Centroid: CG[11.82663888889; 1.16656534952]
Coordinates of the circumscribed circle: U[12; -18.80220425933]
Coordinates of the inscribed circle: I[11.5; 1.71327969726]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.3955411122° = 164°23'43″ = 0.27223514543 rad
∠ B' = β' = 163.0577408391° = 163°3'27″ = 0.29657040074 rad
∠ C' = γ' = 32.54771804879° = 32°32'50″ = 2.57435371918 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.