# 24 25 29 triangle

### Acute scalene triangle.

Sides: a = 24   b = 25   c = 29

Area: T = 286.1821760425
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 52.13657227104° = 52°8'9″ = 0.91099400192 rad
Angle ∠ B = β = 55.32218804133° = 55°19'19″ = 0.96655489616 rad
Angle ∠ C = γ = 72.54223968763° = 72°32'33″ = 1.26661036728 rad

Height: ha = 23.84884800354
Height: hb = 22.8954540834
Height: hc = 19.73766731328

Median: ma = 24.2699322199
Median: mb = 23.5
Median: mc = 19.75547462651

Inradius: r = 7.33879938571
Circumradius: R = 15.22001301325

Vertex coordinates: A[29; 0] B[0; 0] C[13.65551724138; 19.73766731328]
Centroid: CG[14.21883908046; 6.57988910443]
Coordinates of the circumscribed circle: U[14.5; 4.56600390397]
Coordinates of the inscribed circle: I[14; 7.33879938571]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.864427729° = 127°51'51″ = 0.91099400192 rad
∠ B' = β' = 124.6788119587° = 124°40'41″ = 0.96655489616 rad
∠ C' = γ' = 107.4587603124° = 107°27'27″ = 1.26661036728 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.