# 15 25 29 triangle

### Acute scalene triangle.

Sides: a = 15   b = 25   c = 29

Area: T = 187.4866499514
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 31.14548966708° = 31°8'42″ = 0.54435809921 rad
Angle ∠ B = β = 59.54326691856° = 59°32'34″ = 1.03992156227 rad
Angle ∠ C = γ = 89.31224341436° = 89°18'45″ = 1.55987960388 rad

Height: ha = 24.99881999352
Height: hb = 14.99989199611
Height: hc = 12.93301034148

Median: ma = 26.01444190787
Median: mb = 19.41100489438
Median: mc = 14.65443508898

Inradius: r = 5.43443912903
Circumradius: R = 14.50110441128

Vertex coordinates: A[29; 0] B[0; 0] C[7.60334482759; 12.93301034148]
Centroid: CG[12.20111494253; 4.31100344716]
Coordinates of the circumscribed circle: U[14.5; 0.17440125294]
Coordinates of the inscribed circle: I[9.5; 5.43443912903]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.8555103329° = 148°51'18″ = 0.54435809921 rad
∠ B' = β' = 120.4577330814° = 120°27'26″ = 1.03992156227 rad
∠ C' = γ' = 90.68875658564° = 90°41'15″ = 1.55987960388 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.