# 14 30 30 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 30   c = 30

Area: T = 204.2033330041
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 26.98767976431° = 26°59'12″ = 0.47110084734 rad
Angle ∠ B = β = 76.50766011784° = 76°30'24″ = 1.33552920901 rad
Angle ∠ C = γ = 76.50766011784° = 76°30'24″ = 1.33552920901 rad

Height: ha = 29.17219042916
Height: hb = 13.61435553361
Height: hc = 13.61435553361

Median: ma = 29.17219042916
Median: mb = 17.97222007556
Median: mc = 17.97222007556

Inradius: r = 5.519900892
Circumradius: R = 15.42658013293

Vertex coordinates: A[30; 0] B[0; 0] C[3.26766666667; 13.61435553361]
Centroid: CG[11.08988888889; 4.53878517787]
Coordinates of the circumscribed circle: U[15; 3.59993536435]
Coordinates of the inscribed circle: I[7; 5.519900892]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.0133202357° = 153°48″ = 0.47110084734 rad
∠ B' = β' = 103.4933398822° = 103°29'36″ = 1.33552920901 rad
∠ C' = γ' = 103.4933398822° = 103°29'36″ = 1.33552920901 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.