# 11 14 17 triangle

### Acute scalene triangle.

Sides: a = 11   b = 14   c = 17

Area: T = 76.68111580507
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 40.11991668984° = 40°7'9″ = 0.77002115555 rad
Angle ∠ B = β = 55.0976741672° = 55°5'48″ = 0.96216195493 rad
Angle ∠ C = γ = 84.78440914295° = 84°47'3″ = 1.48797615488 rad

Height: ha = 13.94220287365
Height: hb = 10.95444511501
Height: hc = 9.02113127118

Median: ma = 14.56988022843
Median: mb = 12.49899959968
Median: mc = 9.28770878105

Inradius: r = 3.65114837167
Circumradius: R = 8.53553431878

Vertex coordinates: A[17; 0] B[0; 0] C[6.29441176471; 9.02113127118]
Centroid: CG[7.76547058824; 3.00771042373]
Coordinates of the circumscribed circle: U[8.5; 0.77659402898]
Coordinates of the inscribed circle: I[7; 3.65114837167]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.8810833102° = 139°52'51″ = 0.77002115555 rad
∠ B' = β' = 124.9033258328° = 124°54'12″ = 0.96216195493 rad
∠ C' = γ' = 95.21659085705° = 95°12'57″ = 1.48797615488 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.