# 26 27 30 triangle

### Acute scalene triangle.

Sides: a = 26   b = 27   c = 30

Area: T = 327.5098683091
Perimeter: p = 83
Semiperimeter: s = 41.5

Angle ∠ A = α = 53.96655482592° = 53°57'56″ = 0.94218764998 rad
Angle ∠ B = β = 57.11554026449° = 57°6'55″ = 0.99768518298 rad
Angle ∠ C = γ = 68.91990490959° = 68°55'9″ = 1.20328643241 rad

Height: ha = 25.19329756224
Height: hb = 24.26599024512
Height: hc = 21.83439122061

Median: ma = 25.40766920318
Median: mb = 24.61219889485
Median: mc = 21.85217733834

Inradius: r = 7.89217754962
Circumradius: R = 16.07659096532

Vertex coordinates: A[30; 0] B[0; 0] C[14.11766666667; 21.83439122061]
Centroid: CG[14.70655555556; 7.27879707354]
Coordinates of the circumscribed circle: U[15; 5.78222894408]
Coordinates of the inscribed circle: I[14.5; 7.89217754962]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.0344451741° = 126°2'4″ = 0.94218764998 rad
∠ B' = β' = 122.8854597355° = 122°53'5″ = 0.99768518298 rad
∠ C' = γ' = 111.0810950904° = 111°4'51″ = 1.20328643241 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.