# 10 20 29 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 20   c = 29

Area: T = 52.2732722332
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 10.38443665905° = 10°23'4″ = 0.18112413877 rad
Angle ∠ B = β = 21.1311000091° = 21°7'52″ = 0.36988055258 rad
Angle ∠ C = γ = 148.4854633319° = 148°29'5″ = 2.592154574 rad

Height: ha = 10.45545444664
Height: hb = 5.22772722332
Height: hc = 3.60550153332

Median: ma = 24.40328686838
Median: mb = 19.24883765549
Median: mc = 6.30547601065

Inradius: r = 1.77219566892
Circumradius: R = 27.73991330566

Vertex coordinates: A[29; 0] B[0; 0] C[9.32875862069; 3.60550153332]
Centroid: CG[12.7765862069; 1.20216717777]
Coordinates of the circumscribed circle: U[14.5; -23.64876109308]
Coordinates of the inscribed circle: I[9.5; 1.77219566892]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.616563341° = 169°36'56″ = 0.18112413877 rad
∠ B' = β' = 158.8698999909° = 158°52'8″ = 0.36988055258 rad
∠ C' = γ' = 31.51553666815° = 31°30'55″ = 2.592154574 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.