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Q.

The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the product of the lengths of these sides.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image

answer is C.

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Detailed Solution

Concept: Since the hypotenuse and the other two sides are known, we must use pythagoras' theorem to solve this problem.
Let one side of the given triangle be Question Image and the other side becomes Question Image.
From pythagoras theorem, (hypotenuse Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion Imageand Question ImageQuestion Imageand Question ImageBut Question Image (length of a side) cannot be negative.
Then Question ImageOther side is Question ImageThe product of the length of sides Question ImageHence, the correct answer is option 2
 
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