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Ask iit jee aieee pet cbse icse state board experts Expert Question: finding inradius of right angled triangle
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nikhila1234 (336)

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What is the inradius of the triangle with sides 3,4,5?

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nikhila1234 (336)

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plzzzzzzzzzz

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aneeket.777 (0)

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the ans is....2
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aneeket.777 (0)

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rite or wrong....tell me then i can give the soln
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Avinash_Bhat (665)

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Hey Nikhila and Ankeet,
This's simple yaar....
 
For any triangle,
 
" AREA  = Inradius*( Perimeter of triangle ) / 2 "
 
So : here, Area = 1/2*3*4 = 6
               ie, inradius = 2*area / perimeter
                                = 12 / (3 + 4 + 5)
                                = 1
 
Please let me know if there are any mistakes....
 
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nikhila1234 (336)

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Ans is 2

Nikhila
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priyesh (1607)

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inradius = (area of triangle)/s  where s = (a + b+ c)/2
 
therefore inradius = 6/6 = 1
 
In my opinion the inradius has to be 1 maybe the experts would rectify the ans.
 
 

"Imagination is more important than knowledge."
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aneeket.777 (0)

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yeah.....its rite....just a silly mistake for me....
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aneeket.777 (0)

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its gotta be 1......see once more time nikhila....or else the ans given in ur source is wrong......
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nikhila1234 (336)

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its a quesion from FIITJEE tst series. its ok
answer might be wrong
thanks aneeket , priyesh and avinash

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Avinash_Bhat (665)

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Even mistakes make mistakes...don't they??!!!
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iitkgp_bipin (6498)

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r = (area)/(semi-perimeter)

area = (1/2)(3)(4) = 6

semi-perimeter = (3+4+5)/2 = 6

Hence r = 6/6 = 1

Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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