# 14 16 17 triangle

### Acute scalene triangle.

Sides: a = 14   b = 16   c = 17

Area: T = 104.3243714945
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 50.09329429377° = 50°5'35″ = 0.87442867863 rad
Angle ∠ B = β = 61.24332248734° = 61°14'36″ = 1.06988959186 rad
Angle ∠ C = γ = 68.66438321889° = 68°39'50″ = 1.19884099487 rad

Height: ha = 14.90333878493
Height: hb = 13.04404643682
Height: hc = 12.27333782289

Median: ma = 14.95499163877
Median: mb = 13.36603892159
Median: mc = 12.43995967676

Inradius: r = 4.4399307019
Circumradius: R = 9.12554419045

Vertex coordinates: A[17; 0] B[0; 0] C[6.73552941176; 12.27333782289]
Centroid: CG[7.91217647059; 4.09111260763]
Coordinates of the circumscribed circle: U[8.5; 3.32201942644]
Coordinates of the inscribed circle: I[7.5; 4.4399307019]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.9077057062° = 129°54'25″ = 0.87442867863 rad
∠ B' = β' = 118.7576775127° = 118°45'24″ = 1.06988959186 rad
∠ C' = γ' = 111.3366167811° = 111°20'10″ = 1.19884099487 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.