# 13 18 29 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 18   c = 29

Area: T = 78.23304288624
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 17.44215938563° = 17°26'30″ = 0.30444132396 rad
Angle ∠ B = β = 24.5220294972° = 24°31'13″ = 0.42879598808 rad
Angle ∠ C = γ = 138.0388111172° = 138°2'17″ = 2.40992195332 rad

Height: ha = 12.03554505942
Height: hb = 8.69222698736
Height: hc = 5.39552019905

Median: ma = 23.24332785983
Median: mb = 20.5911260282
Median: mc = 6.02107972894

Inradius: r = 2.60876809621
Circumradius: R = 21.68659350597

Vertex coordinates: A[29; 0] B[0; 0] C[11.82875862069; 5.39552019905]
Centroid: CG[13.60991954023; 1.79884006635]
Coordinates of the circumscribed circle: U[14.5; -16.12554388905]
Coordinates of the inscribed circle: I[12; 2.60876809621]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.5588406144° = 162°33'30″ = 0.30444132396 rad
∠ B' = β' = 155.4879705028° = 155°28'47″ = 0.42879598808 rad
∠ C' = γ' = 41.96218888284° = 41°57'43″ = 2.40992195332 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.