Two triangles are considered distinct if they cannot be superimposed on each other by rotation. How many distinct triangles, with integer sides, exist, such that there perimeter is 30?
suppose d given triangles are equilateral..den dere side=20..so 18 distinct triangles can be formed...den findout d area of circum circle..proceeding in dat way i found its near 60...m not sure..but help me out
is the answer a) 19 ? i.e. how i approached this question since all(any two) the sides are less than half the perimeter. 14 ,14 ,2 14 ,13 ,3 14 ,12 ,4 . . 8 8 = total 7 possibilities. similary 13 ,13 ,4 13 ,12 ,5 13 ,11 ,6 likewise we can do for 12 , 11 and 10. giving a total of 19.
is the answer a) 19 ? i.e. how i approached this question since all(any two) the sides are less than half the perimeter. 14 ,14 ,2 14 ,13 ,3 14 ,12 ,4 . . 8 8 = total 7 possibilities. similary 13 ,13 ,4 13 ,12 ,5 13 ,11 ,6 likewise we can do for 12 , 11 and 10. giving a total of 19.
option B????
ReplyDeleteKindly post your process, i will know if it is right or not!
ReplyDeletesuppose d given triangles are equilateral..den dere side=20..so 18 distinct triangles can be formed...den findout d area of circum circle..proceeding in dat way i found its near 60...m not sure..but help me out
ReplyDeleteYou need to think in terms of triangle inequalities
ReplyDeleteis the answer a) 19 ?
ReplyDeletei.e. how i approached this question
since all(any two) the sides are less than half the perimeter.
14 ,14 ,2
14 ,13 ,3
14 ,12 ,4
. .
8 8 = total 7 possibilities.
similary
13 ,13 ,4
13 ,12 ,5
13 ,11 ,6
likewise we can do for 12 , 11 and 10.
giving a total of 19.
correct me if i m wrong.
One sincere question..
ReplyDeleteCould we have a facility of subscribing to the posts of this blog. This blog is a boon to CAT aspirants. :)
And could you provide solutions at the end of 48 hours or a specific period?
If it's not asking too much :)
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ReplyDeletethere is a feed button out there! :)
Yeah I generally provide solutions.
I was away traveling and little busy tonight. I hope to satisfy all your needs by tomorrow or day after.
Good Luck
is the answer a) 19 ?
ReplyDeletei.e. how i approached this question
since all(any two) the sides are less than half the perimeter.
14 ,14 ,2
14 ,13 ,3
14 ,12 ,4
. .
8 8 = total 7 possibilities.
similary
13 ,13 ,4
13 ,12 ,5
13 ,11 ,6
likewise we can do for 12 , 11 and 10.
giving a total of 19.
correct me if i m wrong
what is the answer to this question ????
ReplyDeleteit's 19 i guess
ReplyDelete