# 14 27 29 triangle

### Acute scalene triangle.

Sides: a = 14   b = 27   c = 29

Area: T = 187.832971011
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 28.67703405832° = 28°40'13″ = 0.55003918408 rad
Angle ∠ B = β = 67.70990296252° = 67°42'33″ = 1.18217455003 rad
Angle ∠ C = γ = 83.62106297916° = 83°37'14″ = 1.45994553125 rad

Height: ha = 26.833281573
Height: hb = 13.913331186
Height: hc = 12.9543773111

Median: ma = 27.12993199325
Median: mb = 18.33771208209
Median: mc = 15.88223801743

Inradius: r = 5.3676563146
Circumradius: R = 14.59903435532

Vertex coordinates: A[29; 0] B[0; 0] C[5.31103448276; 12.9543773111]
Centroid: CG[11.43767816092; 4.31879243703]
Coordinates of the circumscribed circle: U[14.5; 1.62111492837]
Coordinates of the inscribed circle: I[8; 5.3676563146]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.3329659417° = 151°19'47″ = 0.55003918408 rad
∠ B' = β' = 112.2910970375° = 112°17'27″ = 1.18217455003 rad
∠ C' = γ' = 96.37993702084° = 96°22'46″ = 1.45994553125 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.