Question

ABCD is a rectangle with diagonals AC and BD meeting at point 'O' find X if OA = 5x-7 and OD = 4x - 5​

Answer 1

Answer:

In given figure ABCD is a rectangle.

⇒ OA=2x+4 and OD=3x+1 [Given]

⇒ AC and BD are diagonals of a rectangle.

⇒ We know that diagonals of rectangle are equal.

⇒ So, AC = BD

We can also write it as,

⇒ 2×OA=2×OD

⇒ $$2\times(2x+4)= 2\time (3x+1)

⇒ 2x+4=3x+1

∴ x=3

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Answer 2

Answer:

Triangle AOB and triangle COD

AO = OC [ GIVEN ]

∠AOB = ∠COD [ VERTICALLY OPPOSITE ANGLES]

BO = OD [ GIVEN ]

So, triangle AOB is congruent to triangle COD [ SAS ]

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Step-by-step explanation: