# 8 27 27 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 27   c = 27

Area: T = 106.8088239383
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 17.03992485083° = 17°2'21″ = 0.29773909885 rad
Angle ∠ B = β = 81.48803757459° = 81°28'49″ = 1.42221008325 rad
Angle ∠ C = γ = 81.48803757459° = 81°28'49″ = 1.42221008325 rad

Height: ha = 26.70220598456
Height: hb = 7.91217214357
Height: hc = 7.91217214357

Median: ma = 26.70220598456
Median: mb = 14.63772811683
Median: mc = 14.63772811683

Inradius: r = 3.44554270769
Circumradius: R = 13.65106322773

Vertex coordinates: A[27; 0] B[0; 0] C[1.18551851852; 7.91217214357]
Centroid: CG[9.39550617284; 2.63772404786]
Coordinates of the circumscribed circle: U[13.5; 2.02223158929]
Coordinates of the inscribed circle: I[4; 3.44554270769]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.9610751492° = 162°57'39″ = 0.29773909885 rad
∠ B' = β' = 98.52196242541° = 98°31'11″ = 1.42221008325 rad
∠ C' = γ' = 98.52196242541° = 98°31'11″ = 1.42221008325 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.