# 16 27 27 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 27   c = 27

Area: T = 206.3010751332
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 34.47105705142° = 34°28'14″ = 0.60216249505 rad
Angle ∠ B = β = 72.76547147429° = 72°45'53″ = 1.27699838515 rad
Angle ∠ C = γ = 72.76547147429° = 72°45'53″ = 1.27699838515 rad

Height: ha = 25.78875939165
Height: hb = 15.28215371357
Height: hc = 15.28215371357

Median: ma = 25.78875939165
Median: mb = 17.61439149538
Median: mc = 17.61439149538

Inradius: r = 5.89443071809
Circumradius: R = 14.13547037332

Vertex coordinates: A[27; 0] B[0; 0] C[4.74107407407; 15.28215371357]
Centroid: CG[10.58802469136; 5.09438457119]
Coordinates of the circumscribed circle: U[13.5; 4.18880603654]
Coordinates of the inscribed circle: I[8; 5.89443071809]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.5299429486° = 145°31'46″ = 0.60216249505 rad
∠ B' = β' = 107.2355285257° = 107°14'7″ = 1.27699838515 rad
∠ C' = γ' = 107.2355285257° = 107°14'7″ = 1.27699838515 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.