A right angled triangle has two shorter sides and one is twice as long as the other. The hypotenuse is 25cm long. What are the lengths of the two shorter sides.

The ameliorated retort to the peculiar proposed interrogate is identified as 14.43 centimeters (cm).

Step-by-Step Explanation:

The following configurations are stated throughout the interrogate:

- Hypotenuse: 25 centimeters (cm).
- Opposite: b
- Adjacent: 2b

Utilizing the Pythagorean Theorem, established circa 1900 B.C.

A^2 + b^2 = c^2

Extend the equation and equate such values, as necessary,

2b^2 + b^2 = 25^2

Further evaluate,

3b^2 = 625

B^2 = 208.33

Evaluate, on the behalf of the root,

[sqrt root] b^2 = [sqrt root] 208.33

B = 14. 43 centimeters (cm).

Thus far, such agglomeration, referring to the 14. 43 centimeters, is equated to that of the value of the ‘Opposite’.

Since the ‘Adjacent’ is equivalent to twice of that of the opposite,
Adjacent = 28.86 centimeters (cm).

Henceforth, given such configured dissemination(s), the interrogate has contemporaneously been evaluated for.

*I hope this helps.