the diagonals of rectangle are 2x+4 and 3x+1 respectively find the value of x
Answers
QUESTION:
the diagonals of rectangle are 2x+4 and 3x+1 respectively find the value of x
ANSWER:
In the given diagram ABCD is a rectangle
OA = 2x+4, OD= 3x+1 [ given ]
AC AND BD ARE DIAGONALS OF A RECTANGLE
WE KNOW THAT,
DIAGONALS OF A RECTANGLE ARE EQUAL
SO,
AC= BD
=> 2 * OA = 2* OD
=> 2( 2x +4 ) = 2( 3x+1 )
=> 4x + 8 = 6x + 2
=> 4x - 6x = 2 - 8
=> - 2x = -6
=> x = 3
Answer:
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