# 3 23 24 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 23   c = 24

Area: T = 33.16662479036
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 6.90217733189° = 6°54'6″ = 0.12204586686 rad
Angle ∠ B = β = 67.11546195238° = 67°6'53″ = 1.17113710869 rad
Angle ∠ C = γ = 105.9843607157° = 105°59'1″ = 1.8549762898 rad

Height: ha = 22.11108319357
Height: hb = 2.88440215568
Height: hc = 2.7643853992

Median: ma = 23.45774082115
Median: mb = 12.65989889012
Median: mc = 11.18803398875

Inradius: r = 1.32766499161
Circumradius: R = 12.48325696655

Vertex coordinates: A[24; 0] B[0; 0] C[1.16766666667; 2.7643853992]
Centroid: CG[8.38988888889; 0.9211284664]
Coordinates of the circumscribed circle: U[12; -3.43772293282]
Coordinates of the inscribed circle: I[2; 1.32766499161]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.0988226681° = 173°5'54″ = 0.12204586686 rad
∠ B' = β' = 112.8855380476° = 112°53'7″ = 1.17113710869 rad
∠ C' = γ' = 74.01663928427° = 74°59″ = 1.8549762898 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.