# 4 27 27 triangle

### Acute isosceles triangle.

Sides: a = 4   b = 27   c = 27

Area: T = 53.85216480713
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 8.49660453335° = 8°29'46″ = 0.14882839645 rad
Angle ∠ B = β = 85.75219773333° = 85°45'7″ = 1.49766543446 rad
Angle ∠ C = γ = 85.75219773333° = 85°45'7″ = 1.49766543446 rad

Height: ha = 26.92658240357
Height: hb = 3.98990109682
Height: hc = 3.98990109682

Median: ma = 26.92658240357
Median: mb = 13.79331142241
Median: mc = 13.79331142241

Inradius: r = 1.85769533818
Circumradius: R = 13.53771901531

Vertex coordinates: A[27; 0] B[0; 0] C[0.29662962963; 3.98990109682]
Centroid: CG[9.09987654321; 1.33296703227]
Coordinates of the circumscribed circle: U[13.5; 1.00327548262]
Coordinates of the inscribed circle: I[2; 1.85769533818]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.5043954667° = 171°30'14″ = 0.14882839645 rad
∠ B' = β' = 94.24880226667° = 94°14'53″ = 1.49766543446 rad
∠ C' = γ' = 94.24880226667° = 94°14'53″ = 1.49766543446 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.