# 9 24 25 triangle

### Acute scalene triangle.

Sides: a = 9   b = 24   c = 25

Area: T = 107.7033296143
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 21.03994697813° = 21°2'22″ = 0.36772080206 rad
Angle ∠ B = β = 73.20985528854° = 73°12'31″ = 1.27877302885 rad
Angle ∠ C = γ = 85.75219773333° = 85°45'7″ = 1.49766543446 rad

Height: ha = 23.93440658095
Height: hb = 8.97552746786
Height: hc = 8.61662636914

Median: ma = 24.08883789409
Median: mb = 14.45768322948
Median: mc = 13.12444047484

Inradius: r = 3.71439067635
Circumradius: R = 12.5344435327

Vertex coordinates: A[25; 0] B[0; 0] C[2.6; 8.61662636914]
Centroid: CG[9.2; 2.87220878971]
Coordinates of the circumscribed circle: U[12.5; 0.92884766909]
Coordinates of the inscribed circle: I[5; 3.71439067635]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.9610530219° = 158°57'38″ = 0.36772080206 rad
∠ B' = β' = 106.7911447115° = 106°47'29″ = 1.27877302885 rad
∠ C' = γ' = 94.24880226667° = 94°14'53″ = 1.49766543446 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.