# 15 22 24 triangle

### Acute scalene triangle.

Sides: a = 15   b = 22   c = 24

Area: T = 161.615509057
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 37.74771807582° = 37°44'50″ = 0.65988125876 rad
Angle ∠ B = β = 63.87883942075° = 63°52'42″ = 1.11548882998 rad
Angle ∠ C = γ = 78.37444250343° = 78°22'28″ = 1.36878917662 rad

Height: ha = 21.54986787427
Height: hb = 14.69222809609
Height: hc = 13.46879242142

Median: ma = 21.76657988597
Median: mb = 16.71882534973
Median: mc = 14.50986181285

Inradius: r = 5.29988554285
Circumradius: R = 12.25113311908

Vertex coordinates: A[24; 0] B[0; 0] C[6.60441666667; 13.46879242142]
Centroid: CG[10.20113888889; 4.48993080714]
Coordinates of the circumscribed circle: U[12; 2.46988288612]
Coordinates of the inscribed circle: I[8.5; 5.29988554285]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.2532819242° = 142°15'10″ = 0.65988125876 rad
∠ B' = β' = 116.1221605793° = 116°7'18″ = 1.11548882998 rad
∠ C' = γ' = 101.6265574966° = 101°37'32″ = 1.36878917662 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.