ABCD is a trapezium, AB and CD are two parallel sides. Diagonals AC and BD intersect at E. If AE = 4 cm, ED = 5 cm, BE = x andndash; 5 cm and EC = x + 3 cm, find the value of x.a)8b)6c)4d)7Correct answer is option 'D'. Can you explain this answer?

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ABCD is a trapezium, AB and CD are two parallel sides. Diagonals AC and BD intersect at E. If AE = 4 cm, ED = 5 cm, BE = x – 5 cm and EC = x + 3 cm, find the value of x.

a)
8
b)
6
c)
4
d)
7

Correct answer is option 'D'. Can you explain this answer?

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ABCD is a trapezium, AB and CD are two parallel sides. Diagonals AC an...

According to the question,
AE × DE = BE × EC
⇒ 4/(x + 3) = (x – 5)/5
⇒ x² – 2x – 35 = 0
⇒ x² – 7x + 5x – 35 = 0
⇒ (x – 7)(x + 5) = 0
⇒ x = 7

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ABCD is a trapezium, AB and CD are two parallel sides. Diagonals AC and BD intersect at E. If AE = 4 cm, ED = 5 cm, BE = x – 5 cm and EC = x + 3 cm, find the value of x.a)8b)6c)4d)7Correct answer is option 'D'. Can you explain this answer?

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