# 13 25 27 triangle

### Acute scalene triangle.

Sides: a = 13   b = 25   c = 27

Area: T = 161.685545853
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 28.62545509534° = 28°37'28″ = 0.5499592661 rad
Angle ∠ B = β = 67.11546195238° = 67°6'53″ = 1.17113710869 rad
Angle ∠ C = γ = 84.26108295227° = 84°15'39″ = 1.47106289056 rad

Height: ha = 24.87546859277
Height: hb = 12.93548366824
Height: hc = 11.97767006318

Median: ma = 25.19442453747
Median: mb = 17.11099386323
Median: mc = 14.65443508898

Inradius: r = 4.97549371855
Circumradius: R = 13.5688010506

Vertex coordinates: A[27; 0] B[0; 0] C[5.05655555556; 11.97767006318]
Centroid: CG[10.68551851852; 3.99222335439]
Coordinates of the circumscribed circle: U[13.5; 1.35768010506]
Coordinates of the inscribed circle: I[7.5; 4.97549371855]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.3755449047° = 151°22'32″ = 0.5499592661 rad
∠ B' = β' = 112.8855380476° = 112°53'7″ = 1.17113710869 rad
∠ C' = γ' = 95.73991704773° = 95°44'21″ = 1.47106289056 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.