# 13 17 29 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 17   c = 29

Area: T = 55.15660286823
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 12.93297789339° = 12°55'47″ = 0.2265667214 rad
Angle ∠ B = β = 17.01439737181° = 17°50″ = 0.29769498602 rad
Angle ∠ C = γ = 150.0566247348° = 150°3'23″ = 2.61989755794 rad

Height: ha = 8.48655428742
Height: hb = 6.48989445509
Height: hc = 3.80438640471

Median: ma = 22.86437267303
Median: mb = 20.80326440627
Median: mc = 4.33301270189

Inradius: r = 1.87696958875
Circumradius: R = 29.04994083472

Vertex coordinates: A[29; 0] B[0; 0] C[12.43110344828; 3.80438640471]
Centroid: CG[13.81103448276; 1.26879546824]
Coordinates of the circumscribed circle: U[14.5; -25.17217723913]
Coordinates of the inscribed circle: I[12.5; 1.87696958875]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.0770221066° = 167°4'13″ = 0.2265667214 rad
∠ B' = β' = 162.9866026282° = 162°59'10″ = 0.29769498602 rad
∠ C' = γ' = 29.9443752652° = 29°56'38″ = 2.61989755794 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.