# 27 27 28 triangle

### Acute isosceles triangle.

Sides: a = 27   b = 27   c = 28

Area: T = 323.2155098657
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 58.76770709845° = 58°46'1″ = 1.02656788804 rad
Angle ∠ B = β = 58.76770709845° = 58°46'1″ = 1.02656788804 rad
Angle ∠ C = γ = 62.4665858031° = 62°27'57″ = 1.09902348927 rad

Height: ha = 23.94218591598
Height: hb = 23.94218591598
Height: hc = 23.08767927612

Median: ma = 23.96435139326
Median: mb = 23.96435139326
Median: mc = 23.08767927612

Inradius: r = 7.88332950892
Circumradius: R = 15.78882475825

Vertex coordinates: A[28; 0] B[0; 0] C[14; 23.08767927612]
Centroid: CG[14; 7.69655975871]
Coordinates of the circumscribed circle: U[14; 7.29985451787]
Coordinates of the inscribed circle: I[14; 7.88332950892]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.2332929016° = 121°13'59″ = 1.02656788804 rad
∠ B' = β' = 121.2332929016° = 121°13'59″ = 1.02656788804 rad
∠ C' = γ' = 117.5344141969° = 117°32'3″ = 1.09902348927 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.