# 1 27 27 triangle

### Acute isosceles triangle.

Sides: a = 1   b = 27   c = 27

Area: T = 13.49876849867
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 2.12221872153° = 2°7'20″ = 0.03770391542 rad
Angle ∠ B = β = 88.93989063924° = 88°56'20″ = 1.55222767497 rad
Angle ∠ C = γ = 88.93989063924° = 88°56'20″ = 1.55222767497 rad

Height: ha = 26.99553699734
Height: hb = 10.9998285175
Height: hc = 10.9998285175

Median: ma = 26.99553699734
Median: mb = 13.51985058346
Median: mc = 13.51985058346

Inradius: r = 0.49108249086
Circumradius: R = 13.50223154104

Vertex coordinates: A[27; 0] B[0; 0] C[0.01985185185; 10.9998285175]
Centroid: CG[9.00661728395; 0.33332761725]
Coordinates of the circumscribed circle: U[13.5; 0.2550042878]
Coordinates of the inscribed circle: I[0.5; 0.49108249086]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 177.8787812785° = 177°52'40″ = 0.03770391542 rad
∠ B' = β' = 91.06110936076° = 91°3'40″ = 1.55222767497 rad
∠ C' = γ' = 91.06110936076° = 91°3'40″ = 1.55222767497 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.