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:

This question was previously asked in
UGC NET Paper 1: Held on 11 Oct 2022 Shift 1
View all UGC NET Papers >
  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
Free
UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

Download Solution PDF

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.

Latest UGC NET Updates

Last updated on Jun 22, 2025

-> The UGC Net Admit Card has been released on its official website today.

-> The UGC NET June 2025 exam will be conducted from 25th to 29th June 2025.

-> The UGC-NET exam takes place for 85 subjects, to determine the eligibility for 'Junior Research Fellowship’ and ‘Assistant Professor’ posts, as well as for PhD. admissions.

-> The exam is conducted bi-annually - in June and December cycles.

-> The exam comprises two papers - Paper I and Paper II. Paper I consists of 50 questions and Paper II consists of 100 questions. 

-> The candidates who are preparing for the exam can check the UGC NET Previous Year Papers and UGC NET Test Series to boost their preparations.

More Triangles Questions

Hot Links: teen patti teen patti gold downloadable content teen patti star apk real teen patti mpl teen patti