# 15 28 29 triangle

### Acute scalene triangle.

Sides: a = 15   b = 28   c = 29

Area: T = 205.7577138394
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 30.45503140214° = 30°27'1″ = 0.53114582379 rad
Angle ∠ B = β = 71.08766450115° = 71°5'12″ = 1.24106960096 rad
Angle ∠ C = γ = 78.46330409672° = 78°27'47″ = 1.3699438406 rad

Height: ha = 27.43442851192
Height: hb = 14.69769384567
Height: hc = 14.19901474754

Median: ma = 27.5
Median: mb = 18.35875597507
Median: mc = 17.15437167984

Inradius: r = 5.71554760665
Circumradius: R = 14.79990005293

Vertex coordinates: A[29; 0] B[0; 0] C[4.86220689655; 14.19901474754]
Centroid: CG[11.28773563218; 4.73300491585]
Coordinates of the circumscribed circle: U[14.5; 2.96598001059]
Coordinates of the inscribed circle: I[8; 5.71554760665]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.5549685979° = 149°32'59″ = 0.53114582379 rad
∠ B' = β' = 108.9133354989° = 108°54'48″ = 1.24106960096 rad
∠ C' = γ' = 101.5376959033° = 101°32'13″ = 1.3699438406 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.