# 10 25 27 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 25   c = 27

Area: T = 124.9965999936
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 21.73877297313° = 21°44'16″ = 0.37993949557 rad
Angle ∠ B = β = 67.80438991432° = 67°48'14″ = 1.18334012857 rad
Angle ∠ C = γ = 90.45883711255° = 90°27'30″ = 1.57987964121 rad

Height: ha = 24.99991999872
Height: hb = 10.9996799949
Height: hc = 9.25989629582

Median: ma = 25.53442906696
Median: mb = 16.077015868
Median: mc = 13.42657215821

Inradius: r = 4.03221290302
Circumradius: R = 13.55004320207

Vertex coordinates: A[27; 0] B[0; 0] C[3.77877777778; 9.25989629582]
Centroid: CG[10.25992592593; 3.08663209861]
Coordinates of the circumscribed circle: U[13.5; -0.10880034562]
Coordinates of the inscribed circle: I[6; 4.03221290302]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.2622270269° = 158°15'44″ = 0.37993949557 rad
∠ B' = β' = 112.1966100857° = 112°11'46″ = 1.18334012857 rad
∠ C' = γ' = 89.54216288745° = 89°32'30″ = 1.57987964121 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.