# 3 17 17 triangle

### Acute isosceles triangle.

Sides: a = 3   b = 17   c = 17

Area: T = 25.40105413328
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 10.12441859286° = 10°7'27″ = 0.17767003785 rad
Angle ∠ B = β = 84.93879070357° = 84°56'16″ = 1.48224461375 rad
Angle ∠ C = γ = 84.93879070357° = 84°56'16″ = 1.48224461375 rad

Height: ha = 16.93436942219
Height: hb = 2.98882989803
Height: hc = 2.98882989803

Median: ma = 16.93436942219
Median: mb = 8.7610707734
Median: mc = 8.7610707734

Inradius: r = 1.37330022342
Circumradius: R = 8.53332827029

Vertex coordinates: A[17; 0] B[0; 0] C[0.26547058824; 2.98882989803]
Centroid: CG[5.75549019608; 0.99660996601]
Coordinates of the circumscribed circle: U[8.5; 0.75329367091]
Coordinates of the inscribed circle: I[1.5; 1.37330022342]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.8765814071° = 169°52'33″ = 0.17767003785 rad
∠ B' = β' = 95.06220929643° = 95°3'44″ = 1.48224461375 rad
∠ C' = γ' = 95.06220929643° = 95°3'44″ = 1.48224461375 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.