QUESTIONS ON GEOMETRY (PART-7)

Most of these questions are taken from the previous year’s examinations conducted by the Staff Selection Commission (SSC) on Geometry (Except Circle) of the Quantitative Aptitude (Maths) section of the following exams as well as other similar exams. They are all solved and supported by detailed explanation.

1. Combined Graduate Level (CGL) Exam Tier-I & Tier-II

2. Combined Higher Secondary (10+2) Exam (CHSL) Tier-I

3. SI in Delhi Police and CPO Exam Paper-I & Paper-II

QUERY 61

Which of the following lengths are sides of a right triangle?

A) 2.4,    3.2,    4
B) 4.3,    4.4,    4.5
C) 3.1,    4.2,    4.8
D) All of above

MAHA GUPTA
To be a right triangle the longest side must be the hypotenuse

We know that in a right triangle c² = a² + b², where c is the hypotenuse and a, b are two other sides

Now just see the sum of the squares of the smaller integral parts in every set if it’s almost near to the square of the greatest

Set-1
2² + 3² = 13, of course it’s near to 4². So it could be the possible answer; let’s check

2.4² + 3.2² = 16; which equals to 4². Hence it’s one of the answers

Set-2
4² + 4² = 32; we see it’s very far to other square i.e. 4². So it must not be an answer; hence rejected.

Set-3
3² + 4² = 25; we see this also is very far to the other square i.e. 4². So it also must not be an answer; hence rejected.

So only option ‘A’ is correct.