# 3 30 30 triangle

### Acute isosceles triangle.

Sides: a = 3   b = 30   c = 30

Area: T = 44.94437147997
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 5.73219679652° = 5°43'55″ = 0.11000417136 rad
Angle ∠ B = β = 87.13440160174° = 87°8'2″ = 1.521077547 rad
Angle ∠ C = γ = 87.13440160174° = 87°8'2″ = 1.521077547 rad

Height: ha = 29.96224765332
Height: hb = 2.99662476533
Height: hc = 2.99662476533

Median: ma = 29.96224765332
Median: mb = 15.14992574075
Median: mc = 15.14992574075

Inradius: r = 1.42767845968
Circumradius: R = 15.01987852297

Vertex coordinates: A[30; 0] B[0; 0] C[0.15; 2.99662476533]
Centroid: CG[10.05; 0.99987492178]
Coordinates of the circumscribed circle: U[15; 0.75109392615]
Coordinates of the inscribed circle: I[1.5; 1.42767845968]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 174.2688032035° = 174°16'5″ = 0.11000417136 rad
∠ B' = β' = 92.86659839826° = 92°51'58″ = 1.521077547 rad
∠ C' = γ' = 92.86659839826° = 92°51'58″ = 1.521077547 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.