Two diagonals of a rectangle EFGH are of length (25x – 3)cm and (20x + 2)cm. If their intersection point is O, find the lengths of OH and OE.
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Two diagonals of a rectangle EFGH are of length (25x – 3)cm and (20x + 2)cm. If their intersection point is O, find the lengths of OH and OE.
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Answer:
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Answer:
25x-3=20x+2
25x-20x=3+2
5x=5
x=5/5=1
25×1-3=20×1+2
22=22
Therefore for the length of a both diagonals is 22cm
EH=22, FG=22
OH+OE=22
Let it be =X
x+x=22
2x=22
x=22/2
x=11
OE=OH=11cm