# 4 17 17 triangle

### Acute isosceles triangle.

Sides: a = 4   b = 17   c = 17

Area: T = 33.76438860323
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 13.51326540612° = 13°30'46″ = 0.23658403041 rad
Angle ∠ B = β = 83.24436729694° = 83°14'37″ = 1.45328761748 rad
Angle ∠ C = γ = 83.24436729694° = 83°14'37″ = 1.45328761748 rad

Height: ha = 16.88219430161
Height: hb = 3.97222218861
Height: hc = 3.97222218861

Median: ma = 16.88219430161
Median: mb = 8.95882364336
Median: mc = 8.95882364336

Inradius: r = 1.77770466333
Circumradius: R = 8.55994412836

Vertex coordinates: A[17; 0] B[0; 0] C[0.47105882353; 3.97222218861]
Centroid: CG[5.82435294118; 1.3244073962]
Coordinates of the circumscribed circle: U[8.5; 1.00769930922]
Coordinates of the inscribed circle: I[2; 1.77770466333]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.4877345939° = 166°29'14″ = 0.23658403041 rad
∠ B' = β' = 96.75663270306° = 96°45'23″ = 1.45328761748 rad
∠ C' = γ' = 96.75663270306° = 96°45'23″ = 1.45328761748 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.