# 7 27 27 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 27   c = 27

Area: T = 93.70326547116
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 14.89663811221° = 14°53'47″ = 0.26599908972 rad
Angle ∠ B = β = 82.5521809439° = 82°33'7″ = 1.44108008782 rad
Angle ∠ C = γ = 82.5521809439° = 82°33'7″ = 1.44108008782 rad

Height: ha = 26.77221870605
Height: hb = 6.9410937386
Height: hc = 6.9410937386

Median: ma = 26.77221870605
Median: mb = 14.37988038445
Median: mc = 14.37988038445

Inradius: r = 3.07222181873
Circumradius: R = 13.61548757357

Vertex coordinates: A[27; 0] B[0; 0] C[0.90774074074; 6.9410937386]
Centroid: CG[9.30224691358; 2.31436457953]
Coordinates of the circumscribed circle: U[13.5; 1.76548912991]
Coordinates of the inscribed circle: I[3.5; 3.07222181873]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.1043618878° = 165°6'13″ = 0.26599908972 rad
∠ B' = β' = 97.4488190561° = 97°26'53″ = 1.44108008782 rad
∠ C' = γ' = 97.4488190561° = 97°26'53″ = 1.44108008782 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.