Given below are two statements. In the light of the above statements, choose the most appropriate answer from the options given below:

Statement I:If you know the length of any one side of a right-angled triangle, the area of the triangle can be found

Statement II:If you know the length of two sides of a right-angled triangle, the length of the third side can be found

ABoth Statement I and Statement II are correct

BBoth Statement I and Statement II are incorrect

CStatement I is correct but Statement II is incorrect

DStatement I is incorrect but Statement II is correct ✓ Correct

Correct answer: (D) Statement I is incorrect but Statement II is correct

Explanation

Statement 1 is wrong while Statement 2 holds true.

A right triangle's area = (1/2) x base x height, which needs the two legs.

Knowing only one side leaves the other dimension unknown, so area cannot be fixed.

For Statement 2, the Pythagoras rule a^2 + b^2 = c^2 links the three sides.

Given any two sides, the third follows directly from this relation.

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