# 24 24 27 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 24   c = 27

Area: T = 267.8822320245
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 55.77111336722° = 55°46'16″ = 0.97333899101 rad
Angle ∠ B = β = 55.77111336722° = 55°46'16″ = 0.97333899101 rad
Angle ∠ C = γ = 68.45877326556° = 68°27'28″ = 1.19548128333 rad

Height: ha = 22.32435266871
Height: hb = 22.32435266871
Height: hc = 19.8433134833

Median: ma = 22.55499445676
Median: mb = 22.55499445676
Median: mc = 19.8433134833

Inradius: r = 7.14435285399
Circumradius: R = 14.51438357636

Vertex coordinates: A[27; 0] B[0; 0] C[13.5; 19.8433134833]
Centroid: CG[13.5; 6.61443782777]
Coordinates of the circumscribed circle: U[13.5; 5.32992990694]
Coordinates of the inscribed circle: I[13.5; 7.14435285399]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.2298866328° = 124°13'44″ = 0.97333899101 rad
∠ B' = β' = 124.2298866328° = 124°13'44″ = 0.97333899101 rad
∠ C' = γ' = 111.5422267344° = 111°32'32″ = 1.19548128333 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.