# 14 27 27 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 27   c = 27

Area: T = 182.5387667346
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 30.05222275182° = 30°3'8″ = 0.52545103178 rad
Angle ∠ B = β = 74.97438862409° = 74°58'26″ = 1.30985411679 rad
Angle ∠ C = γ = 74.97438862409° = 74°58'26″ = 1.30985411679 rad

Height: ha = 26.07768096208
Height: hb = 13.52113086923
Height: hc = 13.52113086923

Median: ma = 26.07768096208
Median: mb = 16.74106690428
Median: mc = 16.74106690428

Inradius: r = 5.36987549219
Circumradius: R = 13.97879369217

Vertex coordinates: A[27; 0] B[0; 0] C[3.63296296296; 13.52113086923]
Centroid: CG[10.21098765432; 4.50771028974]
Coordinates of the circumscribed circle: U[13.5; 3.62439095723]
Coordinates of the inscribed circle: I[7; 5.36987549219]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.9487772482° = 149°56'52″ = 0.52545103178 rad
∠ B' = β' = 105.0266113759° = 105°1'34″ = 1.30985411679 rad
∠ C' = γ' = 105.0266113759° = 105°1'34″ = 1.30985411679 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.