# 19 27 27 triangle

### Acute isosceles triangle.

Sides: a = 19   b = 27   c = 27

Area: T = 240.0988287166
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 41.20112490993° = 41°12'5″ = 0.71990974527 rad
Angle ∠ B = β = 69.39993754503° = 69°23'58″ = 1.21112476004 rad
Angle ∠ C = γ = 69.39993754503° = 69°23'58″ = 1.21112476004 rad

Height: ha = 25.27435039122
Height: hb = 17.78550583086
Height: hc = 17.78550583086

Median: ma = 25.27435039122
Median: mb = 19.04659969547
Median: mc = 19.04659969547

Inradius: r = 6.57880352648
Circumradius: R = 14.42222186708

Vertex coordinates: A[27; 0] B[0; 0] C[6.68551851852; 17.78550583086]
Centroid: CG[11.22883950617; 5.92883527695]
Coordinates of the circumscribed circle: U[13.5; 5.07444843471]
Coordinates of the inscribed circle: I[9.5; 6.57880352648]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.7998750901° = 138°47'56″ = 0.71990974527 rad
∠ B' = β' = 110.601062455° = 110°36'2″ = 1.21112476004 rad
∠ C' = γ' = 110.601062455° = 110°36'2″ = 1.21112476004 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.