# 23 24 29 triangle

### Acute scalene triangle.

Sides: a = 23   b = 24   c = 29

Area: T = 267.9932537209
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 50.36222856093° = 50°21'44″ = 0.87989877027 rad
Angle ∠ B = β = 53.47329380047° = 53°28'23″ = 0.93332788289 rad
Angle ∠ C = γ = 76.1654776386° = 76°9'53″ = 1.3299326122 rad

Height: ha = 23.30436988878
Height: hb = 22.33327114341
Height: hc = 18.48222439455

Median: ma = 24.00552077683
Median: mb = 23.25994066992
Median: mc = 18.5

Inradius: r = 7.05224351897
Circumradius: R = 14.93332516557

Vertex coordinates: A[29; 0] B[0; 0] C[13.69896551724; 18.48222439455]
Centroid: CG[14.23298850575; 6.16107479818]
Coordinates of the circumscribed circle: U[14.5; 3.57109949611]
Coordinates of the inscribed circle: I[14; 7.05224351897]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.6387714391° = 129°38'16″ = 0.87989877027 rad
∠ B' = β' = 126.5277061995° = 126°31'37″ = 0.93332788289 rad
∠ C' = γ' = 103.8355223614° = 103°50'7″ = 1.3299326122 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.