21 30 30 triangle

Acute isosceles triangle.

Sides: a = 21   b = 30   c = 30

Area: T = 295.0766155424
Perimeter: p = 81
Semiperimeter: s = 40.5

Angle ∠ A = α = 40.97546302294° = 40°58'29″ = 0.71551422073 rad
Angle ∠ B = β = 69.51326848853° = 69°30'46″ = 1.21332252231 rad
Angle ∠ C = γ = 69.51326848853° = 69°30'46″ = 1.21332252231 rad

Height: ha = 28.10224909928
Height: hb = 19.6721743695
Height: hc = 19.6721743695

Median: ma = 28.10224909928
Median: mb = 21.10768709192
Median: mc = 21.10768709192

Inradius: r = 7.28658309981
Circumradius: R = 16.01328153805

Vertex coordinates: A[30; 0] B[0; 0] C[7.35; 19.6721743695]
Centroid: CG[12.45; 6.55772478983]
Coordinates of the circumscribed circle: U[15; 5.60444853832]
Coordinates of the inscribed circle: I[10.5; 7.28658309981]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.0255369771° = 139°1'31″ = 0.71551422073 rad
∠ B' = β' = 110.4877315115° = 110°29'14″ = 1.21332252231 rad
∠ C' = γ' = 110.4877315115° = 110°29'14″ = 1.21332252231 rad

Calculate another triangle




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.


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