# 2 30 30 triangle

### Acute isosceles triangle.

Sides: a = 2   b = 30   c = 30

Area: T = 29.98333287011
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 3.82204263434° = 3°49'14″ = 0.06766790185 rad
Angle ∠ B = β = 88.09897868283° = 88°5'23″ = 1.53774568175 rad
Angle ∠ C = γ = 88.09897868283° = 88°5'23″ = 1.53774568175 rad

Height: ha = 29.98333287011
Height: hb = 1.99988885801
Height: hc = 1.99988885801

Median: ma = 29.98333287011
Median: mb = 15.06765191733
Median: mc = 15.06765191733

Inradius: r = 0.96772041516
Circumradius: R = 15.00883402842

Vertex coordinates: A[30; 0] B[0; 0] C[0.06766666667; 1.99988885801]
Centroid: CG[10.02222222222; 0.66662961934]
Coordinates of the circumscribed circle: U[15; 0.55002780095]
Coordinates of the inscribed circle: I[1; 0.96772041516]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 176.1879573657° = 176°10'46″ = 0.06766790185 rad
∠ B' = β' = 91.91102131717° = 91°54'37″ = 1.53774568175 rad
∠ C' = γ' = 91.91102131717° = 91°54'37″ = 1.53774568175 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.