# 16 20 29 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 20   c = 29

Area: T = 153.1769636351
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 31.88219705474° = 31°52'55″ = 0.55664453581 rad
Angle ∠ B = β = 41.31661918592° = 41°18'58″ = 0.72111035823 rad
Angle ∠ C = γ = 106.8021837593° = 106°48'7″ = 1.86440437132 rad

Height: ha = 19.14662045439
Height: hb = 15.31769636351
Height: hc = 10.56334231966

Median: ma = 23.59902522242
Median: mb = 21.17878185845
Median: mc = 10.85112672071

Inradius: r = 4.71329118877
Circumradius: R = 15.14766051318

Vertex coordinates: A[29; 0] B[0; 0] C[12.01772413793; 10.56334231966]
Centroid: CG[13.67224137931; 3.52111410655]
Coordinates of the circumscribed circle: U[14.5; -4.37883155459]
Coordinates of the inscribed circle: I[12.5; 4.71329118877]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.1188029453° = 148°7'5″ = 0.55664453581 rad
∠ B' = β' = 138.6843808141° = 138°41'2″ = 0.72111035823 rad
∠ C' = γ' = 73.19881624066° = 73°11'53″ = 1.86440437132 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.