# 1 30 30 triangle

### Acute isosceles triangle.

Sides: a = 1   b = 30   c = 30

Area: T = 14.9987916522
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 1.91099477476° = 1°54'36″ = 0.03333348767 rad
Angle ∠ B = β = 89.04550261262° = 89°2'42″ = 1.55441288884 rad
Angle ∠ C = γ = 89.04550261262° = 89°2'42″ = 1.55441288884 rad

Height: ha = 29.99658330439
Height: hb = 10.9998611015
Height: hc = 10.9998611015

Median: ma = 29.99658330439
Median: mb = 15.01766574177
Median: mc = 15.01766574177

Inradius: r = 0.49217349679
Circumradius: R = 15.00220837675

Vertex coordinates: A[30; 0] B[0; 0] C[0.01766666667; 10.9998611015]
Centroid: CG[10.00655555556; 0.33332870338]
Coordinates of the circumscribed circle: U[15; 0.25500347295]
Coordinates of the inscribed circle: I[0.5; 0.49217349679]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 178.0990052252° = 178°5'24″ = 0.03333348767 rad
∠ B' = β' = 90.95549738738° = 90°57'18″ = 1.55441288884 rad
∠ C' = γ' = 90.95549738738° = 90°57'18″ = 1.55441288884 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.