# 5 27 29 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 27   c = 29

Area: T = 63.98998239434
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 9.39437266636° = 9°23'37″ = 0.16439514593 rad
Angle ∠ B = β = 61.8098904512° = 61°48'32″ = 1.07987688908 rad
Angle ∠ C = γ = 108.7977368824° = 108°47'51″ = 1.89988723035 rad

Height: ha = 25.56599295774
Height: hb = 4.73333202921
Height: hc = 4.40768844099

Median: ma = 27.90660925248
Median: mb = 15.83550876221
Median: mc = 12.91331715701

Inradius: r = 2.09550761949
Circumradius: R = 15.31769436095

Vertex coordinates: A[29; 0] B[0; 0] C[2.36220689655; 4.40768844099]
Centroid: CG[10.45440229885; 1.469896147]
Coordinates of the circumscribed circle: U[14.5; -4.93554596075]
Coordinates of the inscribed circle: I[3.5; 2.09550761949]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.6066273336° = 170°36'23″ = 0.16439514593 rad
∠ B' = β' = 118.1911095488° = 118°11'28″ = 1.07987688908 rad
∠ C' = γ' = 71.20326311756° = 71°12'9″ = 1.89988723035 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.