# 7 22 22 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 22   c = 22

Area: T = 76.01993232014
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 18.30882665693° = 18°18'30″ = 0.3219539532 rad
Angle ∠ B = β = 80.84658667154° = 80°50'45″ = 1.41110265608 rad
Angle ∠ C = γ = 80.84658667154° = 80°50'45″ = 1.41110265608 rad

Height: ha = 21.7219806629
Height: hb = 6.91108475638
Height: hc = 6.91108475638

Median: ma = 21.7219806629
Median: mb = 12.06223380818
Median: mc = 12.06223380818

Inradius: r = 2.98111499295
Circumradius: R = 11.14219039835

Vertex coordinates: A[22; 0] B[0; 0] C[1.11436363636; 6.91108475638]
Centroid: CG[7.70545454545; 2.30436158546]
Coordinates of the circumscribed circle: U[11; 1.77325756337]
Coordinates of the inscribed circle: I[3.5; 2.98111499295]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.6921733431° = 161°41'30″ = 0.3219539532 rad
∠ B' = β' = 99.15441332846° = 99°9'15″ = 1.41110265608 rad
∠ C' = γ' = 99.15441332846° = 99°9'15″ = 1.41110265608 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.