20 23 30 triangle

Acute scalene triangle.

Sides: a = 20   b = 23   c = 30

Area: T = 229.8865705297
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 41.78548536525° = 41°47'5″ = 0.72992832737 rad
Angle ∠ B = β = 50.02215081864° = 50°1'17″ = 0.87330400147 rad
Angle ∠ C = γ = 88.19436381611° = 88°11'37″ = 1.53992693652 rad

Height: ha = 22.98985705297
Height: hb = 19.99900613302
Height: hc = 15.32657136865

Median: ma = 24.78991105125
Median: mb = 22.7544120506
Median: mc = 15.47657875405

Inradius: r = 6.29882385013
Circumradius: R = 15.00774577083

Vertex coordinates: A[30; 0] B[0; 0] C[12.85; 15.32657136865]
Centroid: CG[14.28333333333; 5.10985712288]
Coordinates of the circumscribed circle: U[15; 0.47330611669]
Coordinates of the inscribed circle: I[13.5; 6.29882385013]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.2155146347° = 138°12'55″ = 0.72992832737 rad
∠ B' = β' = 129.9788491814° = 129°58'43″ = 0.87330400147 rad
∠ C' = γ' = 91.80663618389° = 91°48'23″ = 1.53992693652 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(20, 23, 30, '<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/hos in /nfsmnt/hosting1_1/1/f/1f5dde43-2431-429d-b7d6-b283e5dc0656/triangle-calculator.com/web/Calculator_Triangle.php on line 2346