# 27 27 29 triangle

### Acute isosceles triangle.

Sides: a = 27   b = 27   c = 29

Area: T = 330.2533217244
Perimeter: p = 83
Semiperimeter: s = 41.5

Angle ∠ A = α = 57.51878360079° = 57°31'4″ = 1.0043875617 rad
Angle ∠ B = β = 57.51878360079° = 57°31'4″ = 1.0043875617 rad
Angle ∠ C = γ = 64.96443279842° = 64°57'52″ = 1.13438414197 rad

Height: ha = 24.46332012773
Height: hb = 24.46332012773
Height: hc = 22.77660839479

Median: ma = 24.55109673944
Median: mb = 24.55109673944
Median: mc = 22.77660839479

Inradius: r = 7.95879088493
Circumradius: R = 16.00436291065

Vertex coordinates: A[29; 0] B[0; 0] C[14.5; 22.77660839479]
Centroid: CG[14.5; 7.59220279826]
Coordinates of the circumscribed circle: U[14.5; 6.77224548414]
Coordinates of the inscribed circle: I[14.5; 7.95879088493]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.4822163992° = 122°28'56″ = 1.0043875617 rad
∠ B' = β' = 122.4822163992° = 122°28'56″ = 1.0043875617 rad
∠ C' = γ' = 115.0365672016° = 115°2'8″ = 1.13438414197 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.