# 5 23 24 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 23   c = 24

Area: T = 57.2366352085
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 11.96987455547° = 11°58'8″ = 0.20988940173 rad
Angle ∠ B = β = 72.54223968763° = 72°32'33″ = 1.26661036728 rad
Angle ∠ C = γ = 95.4898857569° = 95°29'20″ = 1.66765949635 rad

Height: ha = 22.8954540834
Height: hb = 4.97770740943
Height: hc = 4.77696960071

Median: ma = 23.3721991785
Median: mb = 12.97111217711
Median: mc = 11.53325625947

Inradius: r = 2.20113981571
Circumradius: R = 12.05552756223

Vertex coordinates: A[24; 0] B[0; 0] C[1.5; 4.77696960071]
Centroid: CG[8.5; 1.5989898669]
Coordinates of the circumscribed circle: U[12; -1.15331133204]
Coordinates of the inscribed circle: I[3; 2.20113981571]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.0311254445° = 168°1'53″ = 0.20988940173 rad
∠ B' = β' = 107.4587603124° = 107°27'27″ = 1.26661036728 rad
∠ C' = γ' = 84.5111142431° = 84°30'40″ = 1.66765949635 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.