Latest CAT Aptitude Question SOLUTION: Q. The three sides of a right-angled triangle have integral lengths and also form an arithmetic progression. A possible length of one of the sides is Option (1) 22 (2) 91 (3) 82

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Q. The three sides of a right-angled triangle have integral lengths and also form an arithmetic progression. A possible length of one of the sides is

Option
(1) 22
(2) 91
(3) 82
(4) 56

Asked In CAT (11 years ago)

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P.Someshwar Reddy  (10 years ago)

answer is option (4): 56
As we know the 3,4,5 form the sides of a Right-angled Triangle,
then multiples of them also form sides of a Right-angled Triangle like
6,8,10
9,12,15
.
.
.
.
.
now multiply 3,4,5 with 14 it gives
42,56,60

so now one of the possible sides of the Right-angled Triangle is 56
so the answer is option (4) which is 56

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