Exams › IBPS PO › Quantitative Aptitude
Perimeter of a right angled triangle is 60m and length of hypotenuse of right angled triangle is 25m. If base of the right angled triangle is the smallest side, then find length of smallest side.
- 10m
- 15m
- 21m
- 25m
Correct answer: 15m
Solution
a+b=60-25=35. a²+b²=25²=625. (a+b)²=1225=625+2ab → ab=300. (b-a)²=(a+b)²-4ab=25 → b-a=5. Solving a+b=35, b-a=5 gives b=20, a=15. Smallest side=15m.
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