# 17 25 29 triangle

### Acute scalene triangle.

Sides: a = 17   b = 25   c = 29

Area: T = 211.7154873119
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 35.73552719822° = 35°44'7″ = 0.62436981552 rad
Angle ∠ B = β = 59.19114935362° = 59°11'29″ = 1.03330864514 rad
Angle ∠ C = γ = 85.07332344816° = 85°4'24″ = 1.4854808047 rad

Height: ha = 24.90876321317
Height: hb = 16.93771898496
Height: hc = 14.60110257324

Median: ma = 25.70550578681
Median: mb = 20.21875666192
Median: mc = 15.70882780724

Inradius: r = 5.96437992428
Circumradius: R = 14.55437720359

Vertex coordinates: A[29; 0] B[0; 0] C[8.70768965517; 14.60110257324]
Centroid: CG[12.56989655172; 4.86770085775]
Coordinates of the circumscribed circle: U[14.5; 1.25499121866]
Coordinates of the inscribed circle: I[10.5; 5.96437992428]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.2654728018° = 144°15'53″ = 0.62436981552 rad
∠ B' = β' = 120.8098506464° = 120°48'31″ = 1.03330864514 rad
∠ C' = γ' = 94.92767655184° = 94°55'36″ = 1.4854808047 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.