Question
Download Solution PDFABCD is a quadrilateral in which AB ∥ DC. E and F are the midpoints of the diagonals AC and BD, respectively. If AB = 18 cm and CD = 6 cm, then EF = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ABCD is a quadrilateral in which AB ∥ DC.
E and F are the midpoints of the diagonals AC and BD
AB = 18 cm
CD = 6 cm
Concept used:
The length of line joining midpoints of the diagonals is half the difference of the length of parallel sides of the trapezium.
Calculation:
ABCD is a quadrilateral in which AB ∥ DC.
E and F are the midpoints of the diagonals AC and BD
We know that, the length of line joining midpoints of the diagonals is half the difference of the length of parallel sides of the trapezium.
So,
⇒ EF = \(\frac{1}{{2}} \)(Difference of its parallel sides)
⇒ EF = \(\frac{1}{{2}} \)(AB – DC)
⇒ EF = \(\frac{1}{{2}} \)(18 – 6)
⇒ EF = \(\frac{1}{{2}} \) × 12
⇒ EF = 6 cm
∴ The value of EF is 6 cm
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