# 13 27 30 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 27   c = 30

Area: T = 175.4999287748
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 25.67991768138° = 25°40'45″ = 0.44881861846 rad
Angle ∠ B = β = 64.15875871263° = 64°9'27″ = 1.12197611355 rad
Angle ∠ C = γ = 90.16332360599° = 90°9'48″ = 1.57436453335 rad

Height: ha = 276.9998904227
Height: hb = 132.9999472406
Height: hc = 11.76999525165

Median: ma = 27.78993864632
Median: mb = 18.76883243791
Median: mc = 14.96766295471

Inradius: r = 5.01442653642
Circumradius: R = 155.0000608765

Vertex coordinates: A[30; 0] B[0; 0] C[5.66766666667; 11.76999525165]
Centroid: CG[11.88988888889; 3.98999841722]
Coordinates of the circumscribed circle: U[15; -0.04327352162]
Coordinates of the inscribed circle: I[8; 5.01442653642]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.3210823186° = 154°19'15″ = 0.44881861846 rad
∠ B' = β' = 115.8422412874° = 115°50'33″ = 1.12197611355 rad
∠ C' = γ' = 89.83767639401° = 89°50'12″ = 1.57436453335 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.