17 20 23 triangle

Acute scalene triangle.

Sides: a = 17   b = 20   c = 23

Area: T = 165.2277116419
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 45.92107901521° = 45°55'15″ = 0.80114689833 rad
Angle ∠ B = β = 57.68881704787° = 57°41'17″ = 1.00768485143 rad
Angle ∠ C = γ = 76.39110393692° = 76°23'28″ = 1.3333275156 rad

Height: ha = 19.43884842845
Height: hb = 16.52327116419
Height: hc = 14.36875753407

Median: ma = 19.80553023203
Median: mb = 17.57883958312
Median: mc = 14.56988022843

Inradius: r = 5.50875705473
Circumradius: R = 11.83221982637

Vertex coordinates: A[23; 0] B[0; 0] C[9.08769565217; 14.36875753407]
Centroid: CG[10.69656521739; 4.78991917802]
Coordinates of the circumscribed circle: U[11.5; 2.78440466503]
Coordinates of the inscribed circle: I[10; 5.50875705473]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.0799209848° = 134°4'45″ = 0.80114689833 rad
∠ B' = β' = 122.3121829521° = 122°18'43″ = 1.00768485143 rad
∠ C' = γ' = 103.6098960631° = 103°36'32″ = 1.3333275156 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(17, 20, 23, '<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