# 10 21 29 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 21   c = 29

Area: T = 73.48546922835
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 13.96549945758° = 13°57'54″ = 0.24437351354 rad
Angle ∠ B = β = 30.45503140214° = 30°27'1″ = 0.53114582379 rad
Angle ∠ C = γ = 135.5854691403° = 135°35'5″ = 2.36663992803 rad

Height: ha = 14.69769384567
Height: hb = 6.99985421222
Height: hc = 5.06879098127

Median: ma = 24.8199347292
Median: mb = 18.98802528961
Median: mc = 7.76220873481

Inradius: r = 2.44994897428
Circumradius: R = 20.7198600741

Vertex coordinates: A[29; 0] B[0; 0] C[8.62106896552; 5.06879098127]
Centroid: CG[12.54402298851; 1.68993032709]
Coordinates of the circumscribed circle: U[14.5; -14.79990005293]
Coordinates of the inscribed circle: I[9; 2.44994897428]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.0355005424° = 166°2'6″ = 0.24437351354 rad
∠ B' = β' = 149.5549685979° = 149°32'59″ = 0.53114582379 rad
∠ C' = γ' = 44.41553085972° = 44°24'55″ = 2.36663992803 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.