# 7 30 30 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 30   c = 30

Area: T = 104.2832968408
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 13.43995303555° = 13°23'58″ = 0.23438659229 rad
Angle ∠ B = β = 83.33002348222° = 83°18'1″ = 1.45438633653 rad
Angle ∠ C = γ = 83.33002348222° = 83°18'1″ = 1.45438633653 rad

Height: ha = 29.79551338309
Height: hb = 6.95221978939
Height: hc = 6.95221978939

Median: ma = 29.79551338309
Median: mb = 15.79655689989
Median: mc = 15.79655689989

Inradius: r = 3.11329244301
Circumradius: R = 15.10331373967

Vertex coordinates: A[30; 0] B[0; 0] C[0.81766666667; 6.95221978939]
Centroid: CG[10.27222222222; 2.3177399298]
Coordinates of the circumscribed circle: U[15; 1.76220326963]
Coordinates of the inscribed circle: I[3.5; 3.11329244301]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.6600469644° = 166°36'2″ = 0.23438659229 rad
∠ B' = β' = 96.76997651778° = 96°41'59″ = 1.45438633653 rad
∠ C' = γ' = 96.76997651778° = 96°41'59″ = 1.45438633653 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.