# 10 17 25 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 17   c = 25

Area: T = 61.18882341631
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 16.73549440407° = 16°44'6″ = 0.29220798736 rad
Angle ∠ B = β = 29.30881092355° = 29°18'29″ = 0.51215230037 rad
Angle ∠ C = γ = 133.9576946724° = 133°57'25″ = 2.33879897762 rad

Height: ha = 12.23876468326
Height: hb = 7.19986157839
Height: hc = 4.8955058733

Median: ma = 20.78546096908
Median: mb = 17.03767250374
Median: mc = 6.18546584384

Inradius: r = 2.35333936217
Circumradius: R = 17.36444494654

Vertex coordinates: A[25; 0] B[0; 0] C[8.72; 4.8955058733]
Centroid: CG[11.24; 1.63216862443]
Coordinates of the circumscribed circle: U[12.5; -12.05329708054]
Coordinates of the inscribed circle: I[9; 2.35333936217]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.2655055959° = 163°15'54″ = 0.29220798736 rad
∠ B' = β' = 150.6921890764° = 150°41'31″ = 0.51215230037 rad
∠ C' = γ' = 46.04330532762° = 46°2'35″ = 2.33879897762 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.