# 25 26 27 triangle

### Acute scalene triangle.

Sides: a = 25   b = 26   c = 27

Area: T = 291.8499276168
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 56.25110114041° = 56°15'4″ = 0.98217653566 rad
Angle ∠ B = β = 59.85328697332° = 59°51'10″ = 1.04546296436 rad
Angle ∠ C = γ = 63.89661188627° = 63°53'46″ = 1.11551976534 rad

Height: ha = 23.34879420935
Height: hb = 22.45499443206
Height: hc = 21.61884649014

Median: ma = 23.3721991785
Median: mb = 22.53988553392
Median: mc = 21.63990850084

Inradius: r = 7.48333147735
Circumradius: R = 15.03334448576

Vertex coordinates: A[27; 0] B[0; 0] C[12.55655555556; 21.61884649014]
Centroid: CG[13.18551851852; 7.20661549671]
Coordinates of the circumscribed circle: U[13.5; 6.61547157373]
Coordinates of the inscribed circle: I[13; 7.48333147735]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.7498988596° = 123°44'56″ = 0.98217653566 rad
∠ B' = β' = 120.1477130267° = 120°8'50″ = 1.04546296436 rad
∠ C' = γ' = 116.1043881137° = 116°6'14″ = 1.11551976534 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.