Find x, if in a rectangle ABCD the two diagonals AC = 7x + 1 and BD= 4x +7
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Hey mate here is your answer
Step-by-step explanation:
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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