# 14 25 28 triangle

### Acute scalene triangle.

Sides: a = 14   b = 25   c = 28

Area: T = 174.7555364724
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 29.95437680794° = 29°57'14″ = 0.52327918764 rad
Angle ∠ B = β = 63.07661351049° = 63°4'34″ = 1.1010886237 rad
Angle ∠ C = γ = 86.97700968156° = 86°58'12″ = 1.51879145402 rad

Height: ha = 24.96550521035
Height: hb = 13.9880429178
Height: hc = 12.48325260518

Median: ma = 25.6032734229
Median: mb = 18.26988259064
Median: mc = 14.64658185159

Inradius: r = 5.21765780515
Circumradius: R = 14.02195982187

Vertex coordinates: A[28; 0] B[0; 0] C[6.33992857143; 12.48325260518]
Centroid: CG[11.44664285714; 4.16108420173]
Coordinates of the circumscribed circle: U[14; 0.74110359058]
Coordinates of the inscribed circle: I[8.5; 5.21765780515]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0466231921° = 150°2'46″ = 0.52327918764 rad
∠ B' = β' = 116.9243864895° = 116°55'26″ = 1.1010886237 rad
∠ C' = γ' = 93.03299031844° = 93°1'48″ = 1.51879145402 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.