# 27 28 29 triangle

### Acute scalene triangle.

Sides: a = 27   b = 28   c = 29

Area: T = 338.6154825429
Perimeter: p = 84
Semiperimeter: s = 42

Angle ∠ A = α = 56.5154623377° = 56°30'53″ = 0.98663662535 rad
Angle ∠ B = β = 59.87331765842° = 59°52'23″ = 1.0454984065 rad
Angle ∠ C = γ = 63.61222000388° = 63°36'44″ = 1.11102423351 rad

Height: ha = 25.08325796614
Height: hb = 24.18767732449
Height: hc = 23.35327465813

Median: ma = 25.10547804213
Median: mb = 24.2699322199
Median: mc = 23.3721991785

Inradius: r = 8.06222577483
Circumradius: R = 16.18765328639

Vertex coordinates: A[29; 0] B[0; 0] C[13.55217241379; 23.35327465813]
Centroid: CG[14.1843908046; 7.78442488604]
Coordinates of the circumscribed circle: U[14.5; 7.19440146062]
Coordinates of the inscribed circle: I[14; 8.06222577483]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.4855376623° = 123°29'7″ = 0.98663662535 rad
∠ B' = β' = 120.1276823416° = 120°7'37″ = 1.0454984065 rad
∠ C' = γ' = 116.3887799961° = 116°23'16″ = 1.11102423351 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.