# 14 17 17 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 17   c = 17

Area: T = 108.4443533694
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 48.63114783424° = 48°37'53″ = 0.84987794172 rad
Angle ∠ B = β = 65.68442608288° = 65°41'3″ = 1.14664066182 rad
Angle ∠ C = γ = 65.68442608288° = 65°41'3″ = 1.14664066182 rad

Height: ha = 15.49219333848
Height: hb = 12.75880627875
Height: hc = 12.75880627875

Median: ma = 15.49219333848
Median: mb = 13.04879883507
Median: mc = 13.04879883507

Inradius: r = 4.51884805706
Circumradius: R = 9.32774348921

Vertex coordinates: A[17; 0] B[0; 0] C[5.76547058824; 12.75880627875]
Centroid: CG[7.58882352941; 4.25326875958]
Coordinates of the circumscribed circle: U[8.5; 3.8410708485]
Coordinates of the inscribed circle: I[7; 4.51884805706]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.3698521658° = 131°22'7″ = 0.84987794172 rad
∠ B' = β' = 114.3165739171° = 114°18'57″ = 1.14664066182 rad
∠ C' = γ' = 114.3165739171° = 114°18'57″ = 1.14664066182 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.