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There is a rectangular onion storehouse in the farm of Mr.Ratnakarrao Verma . The length of the rectangular base is more than its breadth by 7m and diagonal more than length by 1 m.Find the length and breadth of the storehouse .
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Answered by
5
let breadth =X
base=X+7
diagonal=X+8
in right angle triangle
X^2+(X+7)^2=(X+8)^2
(by pithagorous theorem )
X^2+X^2+14X+49=X^2+16X+64
2X^2+14X+49-X^2-16X-64=0
X^2-2X-15=0
X^2+3X-5X-15=0
X (X+3)-5 (X+3)=0
(X-5)(X+3)
X=-3 is not possible
x=5
breadth =5
base=12
diagonal=13
base=X+7
diagonal=X+8
in right angle triangle
X^2+(X+7)^2=(X+8)^2
(by pithagorous theorem )
X^2+X^2+14X+49=X^2+16X+64
2X^2+14X+49-X^2-16X-64=0
X^2-2X-15=0
X^2+3X-5X-15=0
X (X+3)-5 (X+3)=0
(X-5)(X+3)
X=-3 is not possible
x=5
breadth =5
base=12
diagonal=13
Answered by
2
Calculation is shown in the image uploaded below.
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