# 24 25 27 triangle

### Acute scalene triangle.

Sides: a = 24   b = 25   c = 27

Area: T = 275.8198781086
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 54.81095367507° = 54°48'34″ = 0.95766068778 rad
Angle ∠ B = β = 58.35325320481° = 58°21'9″ = 1.01884438111 rad
Angle ∠ C = γ = 66.83879312011° = 66°50'17″ = 1.16765419647 rad

Height: ha = 22.98548984239
Height: hb = 22.06655024869
Height: hc = 20.43110208212

Median: ma = 23.08767927612
Median: mb = 22.27766694099
Median: mc = 20.45111613362

Inradius: r = 7.2588388976
Circumradius: R = 14.68435541222

Vertex coordinates: A[27; 0] B[0; 0] C[12.59325925926; 20.43110208212]
Centroid: CG[13.19875308642; 6.81103402737]
Coordinates of the circumscribed circle: U[13.5; 5.77655312881]
Coordinates of the inscribed circle: I[13; 7.2588388976]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.1990463249° = 125°11'26″ = 0.95766068778 rad
∠ B' = β' = 121.6477467952° = 121°38'51″ = 1.01884438111 rad
∠ C' = γ' = 113.1622068799° = 113°9'43″ = 1.16765419647 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.