Question

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.

Answer 1

Answer:  x =  14.43

Step-by-step explanation:

The Pythagorean Theorem states the following:  

a^2 + b^2 = c^2  

Make one side of the triangle x  

Make the second side of the triangle 2x  

Now, you can plug the values into the equation,  right?  

x^2 + 2x^2 = 25^2 or 625  

3x^2 = 625

Divide each side by 3 and you are left with:  

x^2 =  208.33

Now, take the square root of 208.33

x =  14.43

That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side

Answer 2

Answer: 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.