# 25 27 27 triangle

### Acute isosceles triangle.

Sides: a = 25   b = 27   c = 27

Area: T = 299.1522448594
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 55.15769359562° = 55°9'25″ = 0.96326701377 rad
Angle ∠ B = β = 62.42215320219° = 62°25'18″ = 1.08994612579 rad
Angle ∠ C = γ = 62.42215320219° = 62°25'18″ = 1.08994612579 rad

Height: ha = 23.93221958875
Height: hb = 22.15994406366
Height: hc = 22.15994406366

Median: ma = 23.93221958875
Median: mb = 22.24329764195
Median: mc = 22.24329764195

Inradius: r = 7.57334797112
Circumradius: R = 15.23105288538

Vertex coordinates: A[27; 0] B[0; 0] C[11.57440740741; 22.15994406366]
Centroid: CG[12.85880246914; 7.38664802122]
Coordinates of the circumscribed circle: U[13.5; 7.05111707656]
Coordinates of the inscribed circle: I[12.5; 7.57334797112]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.8433064044° = 124°50'35″ = 0.96326701377 rad
∠ B' = β' = 117.5788467978° = 117°34'42″ = 1.08994612579 rad
∠ C' = γ' = 117.5788467978° = 117°34'42″ = 1.08994612579 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.