# 10 24 25 triangle

### Acute scalene triangle.

Sides: a = 10   b = 24   c = 25

Area: T = 119.3210733739
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 23.43767071991° = 23°26'12″ = 0.40990477064 rad
Angle ∠ B = β = 72.66224819825° = 72°39'45″ = 1.26881995533 rad
Angle ∠ C = γ = 83.90108108185° = 83°54'3″ = 1.46443453939 rad

Height: ha = 23.86441467478
Height: hb = 9.94333944782
Height: hc = 9.54656586991

Median: ma = 23.99895810718
Median: mb = 14.78217454991
Median: mc = 13.48114687627

Inradius: r = 4.04547706352
Circumradius: R = 12.57111597054

Vertex coordinates: A[25; 0] B[0; 0] C[2.98; 9.54656586991]
Centroid: CG[9.32766666667; 3.1821886233]
Coordinates of the circumscribed circle: U[12.5; 1.33656857187]
Coordinates of the inscribed circle: I[5.5; 4.04547706352]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.5633292801° = 156°33'48″ = 0.40990477064 rad
∠ B' = β' = 107.3387518018° = 107°20'15″ = 1.26881995533 rad
∠ C' = γ' = 96.09991891815° = 96°5'57″ = 1.46443453939 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.