# 17 24 29 triangle

### Acute scalene triangle.

Sides: a = 17   b = 24   c = 29

Area: T = 203.9121745616
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 35.87703643042° = 35°52'13″ = 0.6266055961 rad
Angle ∠ B = β = 55.8155048736° = 55°48'54″ = 0.97441563726 rad
Angle ∠ C = γ = 88.31545869598° = 88°18'53″ = 1.541138032 rad

Height: ha = 23.99896171312
Height: hb = 16.9932645468
Height: hc = 14.0632879008

Median: ma = 25.22439965113
Median: mb = 20.51882845287
Median: mc = 14.90880515159

Inradius: r = 5.82660498747
Circumradius: R = 14.50662756982

Vertex coordinates: A[29; 0] B[0; 0] C[9.55217241379; 14.0632879008]
Centroid: CG[12.85105747126; 4.6887626336]
Coordinates of the circumscribed circle: U[14.5; 0.42766551676]
Coordinates of the inscribed circle: I[11; 5.82660498747]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.1329635696° = 144°7'47″ = 0.6266055961 rad
∠ B' = β' = 124.1854951264° = 124°11'6″ = 0.97441563726 rad
∠ C' = γ' = 91.68554130402° = 91°41'7″ = 1.541138032 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    