# 8 29 30 triangle

### Acute scalene triangle.

Sides: a = 8   b = 29   c = 30

Area: T = 115.9933264891
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 15.46550895141° = 15°27'54″ = 0.27699167311 rad
Angle ∠ B = β = 75.15223338526° = 75°9'8″ = 1.31216556663 rad
Angle ∠ C = γ = 89.38325766333° = 89°22'57″ = 1.56600202562 rad

Height: ha = 28.99883162227
Height: hb = 87.9995355097
Height: hc = 7.7332884326

Median: ma = 29.23218319645
Median: mb = 16.48548415218
Median: mc = 15.0833103129

Inradius: r = 3.46224855191
Circumradius: R = 15.00108709699

Vertex coordinates: A[30; 0] B[0; 0] C[2.05; 7.7332884326]
Centroid: CG[10.68333333333; 2.57876281087]
Coordinates of the circumscribed circle: U[15; 0.16216473165]
Coordinates of the inscribed circle: I[4.5; 3.46224855191]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.5354910486° = 164°32'6″ = 0.27699167311 rad
∠ B' = β' = 104.8487666147° = 104°50'52″ = 1.31216556663 rad
∠ C' = γ' = 90.61774233667° = 90°37'3″ = 1.56600202562 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    