21 24 24 triangle

Acute isosceles triangle.

Sides: a = 21   b = 24   c = 24

Area: T = 226.6033039476
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 51.88989595447° = 51°53'20″ = 0.90656331895 rad
Angle ∠ B = β = 64.05655202276° = 64°3'20″ = 1.1187979732 rad
Angle ∠ C = γ = 64.05655202276° = 64°3'20″ = 1.1187979732 rad

Height: ha = 21.58112418549
Height: hb = 18.8843586623
Height: hc = 18.8843586623

Median: ma = 21.58112418549
Median: mb = 19.0921883092
Median: mc = 19.0921883092

Inradius: r = 6.56882040428
Circumradius: R = 13.34549224997

Vertex coordinates: A[24; 0] B[0; 0] C[9.18875; 18.8843586623]
Centroid: CG[11.06325; 6.29545288743]
Coordinates of the circumscribed circle: U[12; 5.83884035936]
Coordinates of the inscribed circle: I[10.5; 6.56882040428]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.1111040455° = 128°6'40″ = 0.90656331895 rad
∠ B' = β' = 115.9444479772° = 115°56'40″ = 1.1187979732 rad
∠ C' = γ' = 115.9444479772° = 115°56'40″ = 1.1187979732 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, 24, 24, '<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