# 20 25 29 triangle

### Acute scalene triangle.

Sides: a = 20   b = 25   c = 29

Area: T = 245.7321560855
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 42.67882131475° = 42°40'42″ = 0.74548753383 rad
Angle ∠ B = β = 57.92546226621° = 57°55'29″ = 1.01109753834 rad
Angle ∠ C = γ = 79.39771641904° = 79°23'50″ = 1.38657419319 rad

Height: ha = 24.57331560855
Height: hb = 19.65985248684
Height: hc = 16.94770041969

Median: ma = 25.15994912508
Median: mb = 21.54664614264
Median: mc = 17.38553386507

Inradius: r = 6.64113935366
Circumradius: R = 14.75218698347

Vertex coordinates: A[29; 0] B[0; 0] C[10.62106896552; 16.94770041969]
Centroid: CG[13.20768965517; 5.6499001399]
Coordinates of the circumscribed circle: U[14.5; 2.71443440496]
Coordinates of the inscribed circle: I[12; 6.64113935366]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.3221786852° = 137°19'18″ = 0.74548753383 rad
∠ B' = β' = 122.0755377338° = 122°4'31″ = 1.01109753834 rad
∠ C' = γ' = 100.603283581° = 100°36'10″ = 1.38657419319 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.