9 21 22 triangle

Acute scalene triangle.

Sides: a = 9   b = 21   c = 22

Area: T = 94.02112741883
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 24.0187678915° = 24°1'4″ = 0.41991875758 rad
Angle ∠ B = β = 71.75219603276° = 71°45'7″ = 1.25223079525 rad
Angle ∠ C = γ = 84.23303607573° = 84°13'49″ = 1.47700971254 rad

Height: ha = 20.89436164863
Height: hb = 8.95444070656
Height: hc = 8.54773885626

Median: ma = 21.03297408448
Median: mb = 13.12444047484
Median: mc = 11.83221595662

Inradius: r = 3.61662028534
Circumradius: R = 11.05660084297

Vertex coordinates: A[22; 0] B[0; 0] C[2.81881818182; 8.54773885626]
Centroid: CG[8.27327272727; 2.84991295209]
Coordinates of the circumscribed circle: U[11; 1.11114505829]
Coordinates of the inscribed circle: I[5; 3.61662028534]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.9822321085° = 155°58'56″ = 0.41991875758 rad
∠ B' = β' = 108.2488039672° = 108°14'53″ = 1.25223079525 rad
∠ C' = γ' = 95.77696392427° = 95°46'11″ = 1.47700971254 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.


Fatal error: Uncaught Error: Class 'TexPNG' not found in /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculator_Triangle.php:2346 Stack trace: #0 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculator_Triangle.php(1929): Calculator_Triangle->ComputeTriangle(9, 21, 22, '<br />', true, '', Array, '<a href='/?what...', Array) #1 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculators.php(1086): Calculator_Triangle->TriangleForm('Triangle calcul...') #2 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculators.php(2225): Calculators->Router('triangle', 'Triangle calcul...', 'Geometry') #3 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/index_real.php(490): Calculators->Run() #4 /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/index_real.php(771): HackMath->Run() #5 /nfsmnt/host in /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculator_Triangle.php on line 2346