# 17 25 27 triangle

### Acute scalene triangle.

Sides: a = 17   b = 25   c = 27

Area: T = 207.4065852135
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 37.91882026564° = 37°55'6″ = 0.66217974828 rad
Angle ∠ B = β = 64.65326682678° = 64°39'10″ = 1.12884019315 rad
Angle ∠ C = γ = 77.42991290757° = 77°25'45″ = 1.35113932393 rad

Height: ha = 24.40106884865
Height: hb = 16.59224681708
Height: hc = 15.36333964545

Median: ma = 24.59216652547
Median: mb = 18.7821639971
Median: mc = 16.57655844543

Inradius: r = 6.012176383
Circumradius: R = 13.83215769322

Vertex coordinates: A[27; 0] B[0; 0] C[7.27877777778; 15.36333964545]
Centroid: CG[11.42659259259; 5.12111321515]
Coordinates of the circumscribed circle: U[13.5; 3.01104020382]
Coordinates of the inscribed circle: I[9.5; 6.012176383]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.0821797344° = 142°4'54″ = 0.66217974828 rad
∠ B' = β' = 115.3477331732° = 115°20'50″ = 1.12884019315 rad
∠ C' = γ' = 102.5710870924° = 102°34'15″ = 1.35113932393 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.