# 24 27 27 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 27   c = 27

Area: T = 290.2411278939
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 52.77655999225° = 52°46'32″ = 0.92111079834 rad
Angle ∠ B = β = 63.61222000388° = 63°36'44″ = 1.11102423351 rad
Angle ∠ C = γ = 63.61222000388° = 63°36'44″ = 1.11102423351 rad

Height: ha = 24.18767732449
Height: hb = 21.49993539955
Height: hc = 21.49993539955

Median: ma = 24.18767732449
Median: mb = 21.68552484422
Median: mc = 21.68552484422

Inradius: r = 7.44220840754
Circumradius: R = 15.07702202526

Vertex coordinates: A[27; 0] B[0; 0] C[10.66766666667; 21.49993539955]
Centroid: CG[12.55655555556; 7.16664513318]
Coordinates of the circumscribed circle: U[13.5; 6.69878756678]
Coordinates of the inscribed circle: I[12; 7.44220840754]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.2244400078° = 127°13'28″ = 0.92111079834 rad
∠ B' = β' = 116.3887799961° = 116°23'16″ = 1.11102423351 rad
∠ C' = γ' = 116.3887799961° = 116°23'16″ = 1.11102423351 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.