# 11 25 27 triangle

### Acute scalene triangle.

Sides: a = 11   b = 25   c = 27

Area: T = 137.4344302487
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 24.03298638405° = 24°1'47″ = 0.41994002428 rad
Angle ∠ B = β = 67.74113787262° = 67°44'29″ = 1.18223100986 rad
Angle ∠ C = γ = 88.22987574334° = 88°13'44″ = 1.54398823122 rad

Height: ha = 24.98880549976
Height: hb = 10.99547441989
Height: hc = 10.18803187027

Median: ma = 25.43112799521
Median: mb = 16.39435963108
Median: mc = 13.81112273169

Inradius: r = 4.36329937297
Circumradius: R = 13.50664533847

Vertex coordinates: A[27; 0] B[0; 0] C[4.16766666667; 10.18803187027]
Centroid: CG[10.38988888889; 3.39334395676]
Coordinates of the circumscribed circle: U[13.5; 0.41774721955]
Coordinates of the inscribed circle: I[6.5; 4.36329937297]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.977013616° = 155°58'13″ = 0.41994002428 rad
∠ B' = β' = 112.2598621274° = 112°15'31″ = 1.18223100986 rad
∠ C' = γ' = 91.77112425666° = 91°46'16″ = 1.54398823122 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.