# 17 25 25 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 25   c = 25

Area: T = 199.8440405074
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 39.75437481402° = 39°45'13″ = 0.69438337951 rad
Angle ∠ B = β = 70.12331259299° = 70°7'23″ = 1.22438794293 rad
Angle ∠ C = γ = 70.12331259299° = 70°7'23″ = 1.22438794293 rad

Height: ha = 23.5110635891
Height: hb = 15.98772324059
Height: hc = 15.98772324059

Median: ma = 23.5110635891
Median: mb = 17.3422145196
Median: mc = 17.3422145196

Inradius: r = 5.96553852261
Circumradius: R = 13.29218565643

Vertex coordinates: A[25; 0] B[0; 0] C[5.78; 15.98772324059]
Centroid: CG[10.26; 5.32990774686]
Coordinates of the circumscribed circle: U[12.5; 4.51992312319]
Coordinates of the inscribed circle: I[8.5; 5.96553852261]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.246625186° = 140°14'47″ = 0.69438337951 rad
∠ B' = β' = 109.877687407° = 109°52'37″ = 1.22438794293 rad
∠ C' = γ' = 109.877687407° = 109°52'37″ = 1.22438794293 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.