Question 1102459
The angle formed by the hands would be 120 degrees
So the other angles of the would be 30 degrees each in the  isosceles triangle
so we now have one side  24 cm and the three angles
so we can use ASA 
 Uses law of sines to determine unknown sides then Heron's formula and trigonometric functions to calculate area and other properties of given triangle. 
*[illustration clock2.jpg]
Obtuse isosceles triangle.
Sides: a = 13.856   b = 13.856   c = 24

Area: T = 83.138
Perimeter: p = 51.713
Semiperimeter: s = 25.856

Angle ∠ A = α = 30° = 0.524 rad
Angle ∠ B = β = 30° = 0.524 rad
Angle ∠ C = γ = 120° = 2.094 rad

Height: ha = 12
Height: hb = 12
Height: hc = 6.928

Median: ma = 18.33
Median: mb = 18.33
Median: mc = 6.928

Inradius: r = 3.215
Circumradius: R = 13.856

Vertex coordinates: A[24; 0] B[0; 0] C[12; 6.928]
Centroid: CG[12; 2.309]
Coordinates of the circumcenter: U[12; -6.928]
*[illustration clock1.jpg].

AAS 
Obtuse isosceles triangle.
Sides: a = 24   b = 13.856   c = 13.856

Area: T = 83.138
Perimeter: p = 51.713
Semiperimeter: s = 25.856

Angle ∠ A = α = 120° = 2.094 rad
Angle ∠ B = β = 30° = 0.524 rad
Angle ∠ C = γ = 30° = 0.524 rad

Height: ha = 6.928
Height: hb = 12
Height: hc = 12

Median: ma = 6.928
Median: mb = 18.33
Median: mc = 18.33

Inradius: r = 3.215
Circumradius: R = 13.856

Vertex coordinates: A[13.856; 0] B[0; 0] C[20.785; 12]
Centroid: CG[11.547; 4]
Coordinates of the circumcenter: U[6.928; 12]