# 17 24 25 triangle

### Acute scalene triangle.

Sides: a = 17   b = 24   c = 25

Area: T = 194.9776921711
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 40.53658021113° = 40°32'9″ = 0.70774832118 rad
Angle ∠ B = β = 66.56988330653° = 66°34'8″ = 1.16218453162 rad
Angle ∠ C = γ = 72.89553648234° = 72°53'43″ = 1.27222641256 rad

Height: ha = 22.93884613778
Height: hb = 16.24880768093
Height: hc = 15.59881537369

Median: ma = 22.98436898691
Median: mb = 17.6921806013
Median: mc = 16.62107701386

Inradius: r = 5.9088391567
Circumradius: R = 13.07884709166

Vertex coordinates: A[25; 0] B[0; 0] C[6.76; 15.59881537369]
Centroid: CG[10.58766666667; 5.1999384579]
Coordinates of the circumscribed circle: U[12.5; 3.84766090931]
Coordinates of the inscribed circle: I[9; 5.9088391567]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.4644197889° = 139°27'51″ = 0.70774832118 rad
∠ B' = β' = 113.4311166935° = 113°25'52″ = 1.16218453162 rad
∠ C' = γ' = 107.1054635177° = 107°6'17″ = 1.27222641256 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.