# 17 29 30 triangle

### Acute scalene triangle.

Sides: a = 17   b = 29   c = 30

Area: T = 239.7699812265
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 33.43879821579° = 33°26'17″ = 0.58436028839 rad
Angle ∠ B = β = 70.0511432774° = 70°3'5″ = 1.22326281476 rad
Angle ∠ C = γ = 76.51105850682° = 76°30'38″ = 1.33553616221 rad

Height: ha = 28.21999779136
Height: hb = 16.53110215355
Height: hc = 15.98799874844

Median: ma = 28.25333183892
Median: mb = 19.60222957839
Median: mc = 18.43990889146

Inradius: r = 6.30878897965
Circumradius: R = 15.42655439963

Vertex coordinates: A[30; 0] B[0; 0] C[5.8; 15.98799874844]
Centroid: CG[11.93333333333; 5.32766624948]
Coordinates of the circumscribed circle: U[15; 3.59882506279]
Coordinates of the inscribed circle: I[9; 6.30878897965]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.5622017842° = 146°33'43″ = 0.58436028839 rad
∠ B' = β' = 109.9498567226° = 109°56'55″ = 1.22326281476 rad
∠ C' = γ' = 103.4899414932° = 103°29'22″ = 1.33553616221 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.