# 3 14 14 triangle

### Acute isosceles triangle.

Sides: a = 3   b = 14   c = 14

Area: T = 20.87991163606
Perimeter: p = 31
Semiperimeter: s = 15.5

Angle ∠ A = α = 12.30112796559° = 12°18'5″ = 0.21546978322 rad
Angle ∠ B = β = 83.84993601721° = 83°50'58″ = 1.46334474107 rad
Angle ∠ C = γ = 83.84993601721° = 83°50'58″ = 1.46334474107 rad

Height: ha = 13.91994109071
Height: hb = 2.98327309087
Height: hc = 2.98327309087

Median: ma = 13.91994109071
Median: mb = 7.31443694192
Median: mc = 7.31443694192

Inradius: r = 1.34770397652
Circumradius: R = 7.04105278394

Vertex coordinates: A[14; 0] B[0; 0] C[0.32114285714; 2.98327309087]
Centroid: CG[4.77438095238; 0.99442436362]
Coordinates of the circumscribed circle: U[7; 0.75443422685]
Coordinates of the inscribed circle: I[1.5; 1.34770397652]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.6998720344° = 167°41'55″ = 0.21546978322 rad
∠ B' = β' = 96.15106398279° = 96°9'2″ = 1.46334474107 rad
∠ C' = γ' = 96.15106398279° = 96°9'2″ = 1.46334474107 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.