21 29 30 triangle

Acute scalene triangle.

Sides: a = 21   b = 29   c = 30

Area: T = 289.1376645896
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 41.65879296759° = 41°39'29″ = 0.72770680324 rad
Angle ∠ B = β = 66.62201318843° = 66°37'12″ = 1.16327406495 rad
Angle ∠ C = γ = 71.72219384398° = 71°43'19″ = 1.25217839717 rad

Height: ha = 27.53768234187
Height: hb = 19.94404583377
Height: hc = 19.27657763931

Median: ma = 27.57326313579
Median: mb = 21.45334379529
Median: mc = 20.39660780544

Inradius: r = 7.22884161474
Circumradius: R = 15.79770290685

Vertex coordinates: A[30; 0] B[0; 0] C[8.33333333333; 19.27657763931]
Centroid: CG[12.77877777778; 6.42552587977]
Coordinates of the circumscribed circle: U[15; 4.95444048474]
Coordinates of the inscribed circle: I[11; 7.22884161474]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.3422070324° = 138°20'31″ = 0.72770680324 rad
∠ B' = β' = 113.3879868116° = 113°22'48″ = 1.16327406495 rad
∠ C' = γ' = 108.278806156° = 108°16'41″ = 1.25217839717 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(21, 29, 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