# 17 23 27 triangle

### Acute scalene triangle.

Sides: a = 17   b = 23   c = 27

Area: T = 194.2329728672
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 38.72217286208° = 38°43'18″ = 0.67658216565 rad
Angle ∠ B = β = 57.81333065911° = 57°48'48″ = 1.00990325515 rad
Angle ∠ C = γ = 83.46549647881° = 83°27'54″ = 1.45767384456 rad

Height: ha = 22.85105563144
Height: hb = 16.89895416237
Height: hc = 14.3877387309

Median: ma = 23.5965550428
Median: mb = 19.41100489438
Median: mc = 15.05882203464

Inradius: r = 5.79879023484
Circumradius: R = 13.58882906188

Vertex coordinates: A[27; 0] B[0; 0] C[9.05655555556; 14.3877387309]
Centroid: CG[12.01985185185; 4.79657957697]
Coordinates of the circumscribed circle: U[13.5; 1.54664934336]
Coordinates of the inscribed circle: I[10.5; 5.79879023484]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.2788271379° = 141°16'42″ = 0.67658216565 rad
∠ B' = β' = 122.1876693409° = 122°11'12″ = 1.00990325515 rad
∠ C' = γ' = 96.53550352119° = 96°32'6″ = 1.45767384456 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.