# 11 16 17 triangle

### Acute scalene triangle.

Sides: a = 11   b = 16   c = 17

Area: T = 85.20656336166
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 38.79332513571° = 38°47'36″ = 0.67770699637 rad
Angle ∠ B = β = 65.68442608288° = 65°41'3″ = 1.14664066182 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 15.49219333848
Height: hb = 10.65107042021
Height: hc = 10.02441921902

Median: ma = 15.56443824163
Median: mb = 11.8744342087
Median: mc = 10.78219293264

Inradius: r = 3.87329833462
Circumradius: R = 8.77987622514

Vertex coordinates: A[17; 0] B[0; 0] C[4.52994117647; 10.02441921902]
Centroid: CG[7.17664705882; 3.34113973967]
Coordinates of the circumscribed circle: U[8.5; 2.19546905629]
Coordinates of the inscribed circle: I[6; 3.87329833462]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.2076748643° = 141°12'24″ = 0.67770699637 rad
∠ B' = β' = 114.3165739171° = 114°18'57″ = 1.14664066182 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.