ABCD is a quadrilateral in which AB|| DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 12 cm, BC = 40 cm, DC = 30 cm, and AD = 45 cm, then what is the length ( in cm) of EF?
ABCD is a quadrilateral in which AB|| DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 12 cm, BC = 40 cm, DC = 30 cm, and AD = 45 cm, then what is the length ( in cm) of EF?
ABCD एक चतुर्भुज है जिसमें AB ∥ DC है, तथा E और F क्रमशः विकर्णों AC और BD के मध्यबिंदु हैं। यदि AB = 12 सेमी, BC = 40 सेमी, DC = 30 सेमी और AD = 45 सेमी हैं, तो EF की लंबाई (सेमी में) ज्ञात कीजिए।
Detailed Solution & Logic
9
In a trapezium (quadrilateral with $AB \parallel DC$), the segment joining the midpoints of the diagonals is given by:
$EF = \frac{1}{2} |AB - DC|$
Given:
$AB = 12$ cm, $DC = 30$ cm
$EF = \frac{1}{2} (30 - 12)$
$= \frac{1}{2} \times 18 = 9$ cm
✅ Final Answer: 9 cm
Similar Practice Questions
A regular rights pyramid has a square base with a side length of 12 cm. Its slant height is 8 cm. what is its volume?
A regular rights pyramid has a square base with a side length of 12 cm....
If x = $\sqrt{6} + 2 and y =\sqrt{6} – 2$ then what is the value of $(\frac{ x}{y}+\frac{y}{x} )^ 2 – 3 $?
If x = $\sqrt{6} + 2 and y =\sqrt{6} – 2$ then what is the...
A regular polygon has interior angle $ 160^\circ $.How many sides does it have?
A regular polygon has interior angle $ 160^\circ $.How many sides does it have? एक...
Find the number of bricks, each measuring 10 cm × 36 cm × 16 cm, required to construct a wall 51 m long, 26 m high and 0.6 m thick, while the sand and cement mixture occupies 20% of the total volume of the wall.
Find the number of bricks, each measuring 10 cm × 36 cm × 16 cm,...
In a circle with center O, two chords, AB and CD, cross each other at right angles. If the distance from the center O to chord AB is 3 cm, while the distance from O to chord CD is 4 cm. What is the radius of the circle?
In a circle with center O, two chords, AB and CD, cross each other at...
In an equilateral triangle ABC, G is the centroid and AB = 10 cm. What is the length of AG (in cm)?
In an equilateral triangle ABC, G is the centroid and AB = 10 cm. What...
A shopkeeper has one spherical laddoo of radius 7 cm.
A shopkeeper has one spherical laddoo of radius 7 cm. With the same material, how...