# 5 20 24 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 20   c = 24

Area: T = 32.78662394916
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 7.85216900217° = 7°51'6″ = 0.13770378427 rad
Angle ∠ B = β = 33.12329402077° = 33°7'23″ = 0.57881043646 rad
Angle ∠ C = γ = 139.0255369771° = 139°1'31″ = 2.42664504463 rad

Height: ha = 13.11444957966
Height: hb = 3.27986239492
Height: hc = 2.73221866243

Median: ma = 21.94988040676
Median: mb = 14.16598022585
Median: mc = 8.27664726786

Inradius: r = 1.33882138568
Circumradius: R = 18.33003604349

Vertex coordinates: A[24; 0] B[0; 0] C[4.18875; 2.73221866243]
Centroid: CG[9.39658333333; 0.91107288748]
Coordinates of the circumscribed circle: U[12; -13.81767721283]
Coordinates of the inscribed circle: I[4.5; 1.33882138568]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.1488309978° = 172°8'54″ = 0.13770378427 rad
∠ B' = β' = 146.8777059792° = 146°52'37″ = 0.57881043646 rad
∠ C' = γ' = 40.97546302294° = 40°58'29″ = 2.42664504463 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.