# 12 25 27 triangle

### Acute scalene triangle.

Sides: a = 12   b = 25   c = 27

Area: T = 149.6666295471
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 26.32545765375° = 26°19'28″ = 0.45994505348 rad
Angle ∠ B = β = 67.49879771918° = 67°29'53″ = 1.17880619404 rad
Angle ∠ C = γ = 86.17774462707° = 86°10'39″ = 1.50440801784 rad

Height: ha = 24.94443825785
Height: hb = 11.97333036377
Height: hc = 11.08663922571

Median: ma = 25.31879778023
Median: mb = 16.74106690428
Median: mc = 14.22114626533

Inradius: r = 4.67770717335
Circumradius: R = 13.53301003718

Vertex coordinates: A[27; 0] B[0; 0] C[4.59325925926; 11.08663922571]
Centroid: CG[10.53108641975; 3.69554640857]
Coordinates of the circumscribed circle: U[13.5; 0.90220066915]
Coordinates of the inscribed circle: I[7; 4.67770717335]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.6755423463° = 153°40'32″ = 0.45994505348 rad
∠ B' = β' = 112.5022022808° = 112°30'7″ = 1.17880619404 rad
∠ C' = γ' = 93.82325537293° = 93°49'21″ = 1.50440801784 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.