# 7 27 30 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 27   c = 30

Area: T = 89.44327191
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 12.75987404169° = 12°45'31″ = 0.22326820287 rad
Angle ∠ B = β = 58.41218644948° = 58°24'43″ = 1.01994793577 rad
Angle ∠ C = γ = 108.8299395088° = 108°49'46″ = 1.89994312672 rad

Height: ha = 25.55550626
Height: hb = 6.62553866
Height: hc = 5.963284794

Median: ma = 28.32440180765
Median: mb = 17.09553209973
Median: mc = 12.80662484749

Inradius: r = 2.79550849719
Circumradius: R = 15.84881317905

Vertex coordinates: A[30; 0] B[0; 0] C[3.66766666667; 5.963284794]
Centroid: CG[11.22222222222; 1.988761598]
Coordinates of the circumscribed circle: U[15; -5.11550054985]
Coordinates of the inscribed circle: I[5; 2.79550849719]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.2411259583° = 167°14'29″ = 0.22326820287 rad
∠ B' = β' = 121.5888135505° = 121°35'17″ = 1.01994793577 rad
∠ C' = γ' = 71.17106049117° = 71°10'14″ = 1.89994312672 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    