# 15 24 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 24   c = 29

Area: T = 179.7222007556
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 31.09439258976° = 31°5'38″ = 0.54326913843 rad
Angle ∠ B = β = 55.72113355656° = 55°43'17″ = 0.97325207692 rad
Angle ∠ C = γ = 93.18547385367° = 93°11'5″ = 1.62663805001 rad

Height: ha = 23.96329343408
Height: hb = 14.9776833963
Height: hc = 12.39546212108

Median: ma = 25.53991855782
Median: mb = 19.72330829233
Median: mc = 13.79331142241

Inradius: r = 5.28659413987
Circumradius: R = 14.52224284743

Vertex coordinates: A[29; 0] B[0; 0] C[8.44882758621; 12.39546212108]
Centroid: CG[12.48327586207; 4.13215404036]
Coordinates of the circumscribed circle: U[14.5; -0.80768015819]
Coordinates of the inscribed circle: I[10; 5.28659413987]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.9066074102° = 148°54'22″ = 0.54326913843 rad
∠ B' = β' = 124.2798664434° = 124°16'43″ = 0.97325207692 rad
∠ C' = γ' = 86.81552614633° = 86°48'55″ = 1.62663805001 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.