Given below are two statements:

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.

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

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UGC NET Paper 1: Held on 11 Oct 2022 Shift 1
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  1. Both Statement I and Statement II are correct
  2. Both Statement I and Statement II are incorrect
  3. Statement I is correct but Statement II is incorrect
  4. Statement I is incorrect but Statement II is correct

Answer (Detailed Solution Below)

Option 4 : Statement I is incorrect but Statement II is correct
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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Calculation:

Statement I is incorrect as we need atleast two sides to find the area of a right-angled triangle

Statement II is correct as we can easily apply Pythagoras' theorem in a right-angled triangle to calculate the third side if two of them are given.

∴ Statement I is incorrect but Statement II is correct.

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