# 19 25 29 triangle

### Acute scalene triangle.

Sides: a = 19   b = 25   c = 29

Area: T = 234.7177250112
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 40.35330656205° = 40°21'11″ = 0.70442938584 rad
Angle ∠ B = β = 58.42663957187° = 58°25'35″ = 1.02197329754 rad
Angle ∠ C = γ = 81.22105386608° = 81°13'14″ = 1.41875658199 rad

Height: ha = 24.70770789591
Height: hb = 18.77773800089
Height: hc = 16.18773965594

Median: ma = 25.35325146682
Median: mb = 21.0899096709
Median: mc = 16.81551717208

Inradius: r = 6.43106095921
Circumradius: R = 14.67219084275

Vertex coordinates: A[29; 0] B[0; 0] C[9.94882758621; 16.18773965594]
Centroid: CG[12.98327586207; 5.39657988531]
Coordinates of the circumscribed circle: U[14.5; 2.23993965495]
Coordinates of the inscribed circle: I[11.5; 6.43106095921]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.6476934379° = 139°38'49″ = 0.70442938584 rad
∠ B' = β' = 121.5743604281° = 121°34'25″ = 1.02197329754 rad
∠ C' = γ' = 98.77994613392° = 98°46'46″ = 1.41875658199 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.