# 4 27 29 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 27   c = 29

Area: T = 48.37435464898
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 7.09875766618° = 7°5'51″ = 0.12438760817 rad
Angle ∠ B = β = 56.5154623377° = 56°30'53″ = 0.98663662535 rad
Angle ∠ C = γ = 116.3887799961° = 116°23'16″ = 2.03113503185 rad

Height: ha = 24.18767732449
Height: hb = 3.58332256659
Height: hc = 3.33661066545

Median: ma = 27.9466377225
Median: mb = 15.69223548265
Median: mc = 12.73877392029

Inradius: r = 1.61224515497
Circumradius: R = 16.18765328639

Vertex coordinates: A[29; 0] B[0; 0] C[2.20768965517; 3.33661066545]
Centroid: CG[10.40222988506; 1.11220355515]
Coordinates of the circumscribed circle: U[14.5; -7.19440146062]
Coordinates of the inscribed circle: I[3; 1.61224515497]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.9022423338° = 172°54'9″ = 0.12438760817 rad
∠ B' = β' = 123.4855376623° = 123°29'7″ = 0.98663662535 rad
∠ C' = γ' = 63.61222000388° = 63°36'44″ = 2.03113503185 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.