9 30 30 triangle

Acute isosceles triangle.

Sides: a = 9   b = 30   c = 30

Area: T = 133.473260955
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 17.25438531174° = 17°15'14″ = 0.30111365456 rad
Angle ∠ B = β = 81.37330734413° = 81°22'23″ = 1.4220228054 rad
Angle ∠ C = γ = 81.37330734413° = 81°22'23″ = 1.4220228054 rad

Height: ha = 29.66105798999
Height: hb = 8.898817397
Height: hc = 8.898817397

Median: ma = 29.66105798999
Median: mb = 16.29441707368
Median: mc = 16.29441707368

Inradius: r = 3.86987712913
Circumradius: R = 15.17216521227

Vertex coordinates: A[30; 0] B[0; 0] C[1.35; 8.898817397]
Centroid: CG[10.45; 2.966605799]
Coordinates of the circumscribed circle: U[15; 2.27657478184]
Coordinates of the inscribed circle: I[4.5; 3.86987712913]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.7466146883° = 162°44'46″ = 0.30111365456 rad
∠ B' = β' = 98.62769265587° = 98°37'37″ = 1.4220228054 rad
∠ C' = γ' = 98.62769265587° = 98°37'37″ = 1.4220228054 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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