# 16 24 25 triangle

### Acute scalene triangle.

Sides: a = 16   b = 24   c = 25

Area: T = 184.8944395534
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 38.04875074536° = 38°2'51″ = 0.66440542772 rad
Angle ∠ B = β = 67.58988679538° = 67°35'20″ = 1.18796482835 rad
Angle ∠ C = γ = 74.36436245926° = 74°21'49″ = 1.29878900929 rad

Height: ha = 23.11217994418
Height: hb = 15.40878662945
Height: hc = 14.79215516427

Median: ma = 23.16224696438
Median: mb = 17.21991753577
Median: mc = 16.11767614613

Inradius: r = 5.68990583241
Circumradius: R = 12.9880382629

Vertex coordinates: A[25; 0] B[0; 0] C[6.1; 14.79215516427]
Centroid: CG[10.36766666667; 4.93105172142]
Coordinates of the circumscribed circle: U[12.5; 3.49986187555]
Coordinates of the inscribed circle: I[8.5; 5.68990583241]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.9522492546° = 141°57'9″ = 0.66440542772 rad
∠ B' = β' = 112.4111132046° = 112°24'40″ = 1.18796482835 rad
∠ C' = γ' = 105.6366375407° = 105°38'11″ = 1.29878900929 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.