# 15 16 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 29

Area: T = 79.37325393319
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 20.00662724699° = 20°23″ = 0.34991753257 rad
Angle ∠ B = β = 21.40333496394° = 21°24'12″ = 0.37435589222 rad
Angle ∠ C = γ = 138.5990377891° = 138°35'25″ = 2.41988584058 rad

Height: ha = 10.58330052443
Height: hb = 9.92215674165
Height: hc = 5.47439682298

Median: ma = 22.18767077323
Median: mb = 21.65664078277
Median: mc = 5.5

Inradius: r = 2.64657513111
Circumradius: R = 21.92219394345

Vertex coordinates: A[29; 0] B[0; 0] C[13.96655172414; 5.47439682298]
Centroid: CG[14.32218390805; 1.82546560766]
Coordinates of the circumscribed circle: U[14.5; -16.44114545759]
Coordinates of the inscribed circle: I[14; 2.64657513111]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.994372753° = 159°59'37″ = 0.34991753257 rad
∠ B' = β' = 158.5976650361° = 158°35'48″ = 0.37435589222 rad
∠ C' = γ' = 41.41096221093° = 41°24'35″ = 2.41988584058 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.