# 15 21 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 21   c = 29

Area: T = 151.3021644076
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 29.79441613936° = 29°47'39″ = 0.52200062142 rad
Angle ∠ B = β = 44.07882183933° = 44°4'42″ = 0.76993100394 rad
Angle ∠ C = γ = 106.1287620213° = 106°7'39″ = 1.85222764 rad

Height: ha = 20.17435525434
Height: hb = 14.41096803882
Height: hc = 10.43545961431

Median: ma = 24.18216045787
Median: mb = 20.5610885195
Median: mc = 11.07992599031

Inradius: r = 4.65554352023
Circumradius: R = 15.09440197243

Vertex coordinates: A[29; 0] B[0; 0] C[10.7765862069; 10.43545961431]
Centroid: CG[13.25986206897; 3.47881987144]
Coordinates of the circumscribed circle: U[14.5; -4.19327832568]
Coordinates of the inscribed circle: I[11.5; 4.65554352023]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.2065838606° = 150°12'21″ = 0.52200062142 rad
∠ B' = β' = 135.9221781607° = 135°55'18″ = 0.76993100394 rad
∠ C' = γ' = 73.87223797868° = 73°52'21″ = 1.85222764 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.