Latest TCS Aptitude Question SOLUTION: 47) The three sides of a triangle are given.16, 14, 21 cms and this triangle is conveted into a square .so what will be the area of the square generated?

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47) The three sides of a triangle are given.16, 14, 21 cms and this triangle is conveted into a square .so what will be the area of the square generated?

Asked In TCS Kunal Verma (10 years ago)

Solved ashish Read Solution (13)

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Read Solution (13) :

ashish  (10 years ago)

It would be easier to understand if you consider lenght of all the sides as a rope ,
and using this rope (since the length of rope is fixed ) we have to form a square
so visualise it as

------|-----|----
21 16 14

as the lenght of rope is fixed
so 4s= 21+16+14
s=12.75
therefore area of square= 162.5625

Is this solution Helpfull? Yes (71) | No (1)  

Himanshu gupta  (10 years ago)

162.5625 cm^2

Is this solution Helpfull? Yes (10) | No (1)  

aditya tiwari  (10 years ago)

112
area of triangle=area of square
by herons formula

Is this solution Helpfull? Yes (10) | No (19)  

NavyaNuchu  (10 years ago)

From the given information,Perimeters of both square and triangle doesn't change thus 4s=16+14+21=51/4=12.75
Area=12.75^2

Is this solution Helpfull? Yes (7) | No (2)  

ashish  (10 years ago)

(14+16+21)/4. Then you will get the 1 side of a square and now find the area of a square.ie, side^2

Is this solution Helpfull? Yes (6) | No   

S.krishna chaitanya  (10 years ago)

ans is 162.5

Is this solution Helpfull? Yes (2) | No   

Kunal Verma  (10 years ago)

where is it mentioned that we ve to cosider their sides to be same......we have to take care of area here ....and hence use hero's formula

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Mayur Pandey  (10 years ago)

Answer: 162.5625
16+14+21=51......51/4=12.75 and 12.75 square=162.5625

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poonam  (10 years ago)

suppose the side of square is a'.
perimeter of triangle = 16+14+21= 51 and that is equal to perimeter of square.
its means 4a' = 51
a'= 51/4
so square will be (51/4)^2 = 162.56

Is this solution Helpfull? Yes (1) | No   

ARUN GUPTA  (10 years ago)

as the lenght of rope is fixed
so 4a= 21+16+14
a=12.75// a is the side of square
therefore area of square= 162.5625

Is this solution Helpfull? Yes (1) | No   

Akshay Sharma  (10 years ago)

Can u explain correct answer

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KOPPUROTHU PRITHVI  (10 years ago)

s=(16+14+21)/2=51/2=25.5
area of triangle=sqrt(s*(s-a)*(s-b)*(s-c))
=sqrt(25.5*(25.5-16)*(25.5-14)*(25.5-21))
=sqrt(25.5*9.5*11.5*4.5)
=sqrt(12536.4375)
=111.996=112(approx)

Is this solution Helpfull? Yes | No (12)  

lekha gupta  (10 years ago)

i think ashish ans is wrong. because of area of triangle = area of square. and acc. to heron's formula ans for area of triangle is 111.96 i.e. 112

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