# 9 23 24 triangle

### Acute scalene triangle.

Sides: a = 9   b = 23   c = 24

Area: T = 103.1550375666
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 21.94660412755° = 21°56'46″ = 0.3833030678 rad
Angle ∠ B = β = 72.76547147429° = 72°45'53″ = 1.27699838515 rad
Angle ∠ C = γ = 85.28992439816° = 85°17'21″ = 1.4898578124 rad

Height: ha = 22.92223057035
Height: hb = 8.9769597884
Height: hc = 8.59658646388

Median: ma = 23.07105439901
Median: mb = 14.00989257261
Median: mc = 12.68985775404

Inradius: r = 3.68439419881
Circumradius: R = 12.04106735505

Vertex coordinates: A[24; 0] B[0; 0] C[2.66766666667; 8.59658646388]
Centroid: CG[8.88988888889; 2.86552882129]
Coordinates of the circumscribed circle: U[12; 0.98988475863]
Coordinates of the inscribed circle: I[5; 3.68439419881]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.0543958724° = 158°3'14″ = 0.3833030678 rad
∠ B' = β' = 107.2355285257° = 107°14'7″ = 1.27699838515 rad
∠ C' = γ' = 94.71107560184° = 94°42'39″ = 1.4898578124 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.