# 11 17 17 triangle

### Acute isosceles triangle.

Sides: a = 11   b = 17   c = 17

Area: T = 88.47113936818
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 37.75330072611° = 37°45'11″ = 0.65989142792 rad
Angle ∠ B = β = 71.12334963694° = 71°7'25″ = 1.24113391872 rad
Angle ∠ C = γ = 71.12334963694° = 71°7'25″ = 1.24113391872 rad

Height: ha = 16.08657079421
Height: hb = 10.40883992567
Height: hc = 10.40883992567

Median: ma = 16.08657079421
Median: mb = 11.52217186218
Median: mc = 11.52217186218

Inradius: r = 3.93220619414
Circumradius: R = 8.98331296527

Vertex coordinates: A[17; 0] B[0; 0] C[3.55988235294; 10.40883992567]
Centroid: CG[6.85329411765; 3.46994664189]
Coordinates of the circumscribed circle: U[8.5; 2.90663066523]
Coordinates of the inscribed circle: I[5.5; 3.93220619414]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.2476992739° = 142°14'49″ = 0.65989142792 rad
∠ B' = β' = 108.8776503631° = 108°52'35″ = 1.24113391872 rad
∠ C' = γ' = 108.8776503631° = 108°52'35″ = 1.24113391872 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.