# 14 17 22 triangle

### Acute scalene triangle.

Sides: a = 14   b = 17   c = 22

Area: T = 1198.999737395
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 39.52110920523° = 39°31'16″ = 0.69897731803 rad
Angle ∠ B = β = 50.59992773209° = 50°35'57″ = 0.88331239884 rad
Angle ∠ C = γ = 89.88796306268° = 89°52'47″ = 1.56986954849 rad

Height: ha = 176.999962485
Height: hb = 143.9999691053
Height: hc = 10.8188157945

Median: ma = 18.37111730709
Median: mb = 16.3633068172
Median: mc = 11.02327038425

Inradius: r = 4.49105561281
Circumradius: R = 111.0000242745

Vertex coordinates: A[22; 0] B[0; 0] C[8.88663636364; 10.8188157945]
Centroid: CG[10.29554545455; 3.60660526483]
Coordinates of the circumscribed circle: U[11; 0.02331092947]
Coordinates of the inscribed circle: I[9.5; 4.49105561281]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.4798907948° = 140°28'44″ = 0.69897731803 rad
∠ B' = β' = 129.4010722679° = 129°24'3″ = 0.88331239884 rad
∠ C' = γ' = 90.12203693732° = 90°7'13″ = 1.56986954849 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.