# 6 27 30 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 27   c = 30

Area: T = 73.63438067738
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 10.47553138432° = 10°28'31″ = 0.18328287167 rad
Angle ∠ B = β = 54.99003678046° = 54°54'1″ = 0.95881921787 rad
Angle ∠ C = γ = 114.6244318352° = 114°37'28″ = 2.00105717581 rad

Height: ha = 24.54546022579
Height: hb = 5.45443560573
Height: hc = 4.90989204516

Median: ma = 28.38113318926
Median: mb = 16.90441415044
Median: mc = 12.5549900398

Inradius: r = 2.33875811674
Circumradius: R = 16.50105729465

Vertex coordinates: A[30; 0] B[0; 0] C[3.45; 4.90989204516]
Centroid: CG[11.15; 1.63663068172]
Coordinates of the circumscribed circle: U[15; -6.87552387277]
Coordinates of the inscribed circle: I[4.5; 2.33875811674]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.5254686157° = 169°31'29″ = 0.18328287167 rad
∠ B' = β' = 125.1099632195° = 125°5'59″ = 0.95881921787 rad
∠ C' = γ' = 65.37656816478° = 65°22'32″ = 2.00105717581 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.