# 10 17 17 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 17   c = 17

Area: T = 81.24403840464
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 34.20992703533° = 34°12'33″ = 0.59770644024 rad
Angle ∠ B = β = 72.89553648234° = 72°53'43″ = 1.27222641256 rad
Angle ∠ C = γ = 72.89553648234° = 72°53'43″ = 1.27222641256 rad

Height: ha = 16.24880768093
Height: hb = 9.55876922407
Height: hc = 9.55876922407

Median: ma = 16.24880768093
Median: mb = 11.05766721937
Median: mc = 11.05766721937

Inradius: r = 3.69327447294
Circumradius: R = 8.89333602233

Vertex coordinates: A[17; 0] B[0; 0] C[2.94111764706; 9.55876922407]
Centroid: CG[6.64770588235; 3.18658974136]
Coordinates of the circumscribed circle: U[8.5; 2.61656941833]
Coordinates of the inscribed circle: I[5; 3.69327447294]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.7910729647° = 145°47'27″ = 0.59770644024 rad
∠ B' = β' = 107.1054635177° = 107°6'17″ = 1.27222641256 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.