# 10 16 25 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 16   c = 25

Area: T = 43.32994068734
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 12.51221731473° = 12°30'44″ = 0.2188378618 rad
Angle ∠ B = β = 20.2821649813° = 20°16'54″ = 0.3543981567 rad
Angle ∠ C = γ = 147.206617704° = 147°12'22″ = 2.56992324686 rad

Height: ha = 8.66658813747
Height: hb = 5.41661758592
Height: hc = 3.46663525499

Median: ma = 20.38438171106
Median: mb = 17.27771525432
Median: mc = 4.66436895265

Inradius: r = 1.69991924264
Circumradius: R = 23.07990142806

Vertex coordinates: A[25; 0] B[0; 0] C[9.38; 3.46663525499]
Centroid: CG[11.46; 1.155545085]
Coordinates of the circumscribed circle: U[12.5; -19.40107963796]
Coordinates of the inscribed circle: I[9.5; 1.69991924264]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.4887826853° = 167°29'16″ = 0.2188378618 rad
∠ B' = β' = 159.7188350187° = 159°43'6″ = 0.3543981567 rad
∠ C' = γ' = 32.79438229603° = 32°47'38″ = 2.56992324686 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.