Question

the base of a trazpium are 13 cm and 9 cm find the length of the median of a trazpium

Answer 1

_________________________

$\sf \green{ \huge{{ Answer : }}}$

• 11cm is the median of the trapezium.

$\sf \pink{ \huge{{Given: }}}$

• Length of the bases are - 13cm , 9cm.

$\sf \purple{ \huge{{To \: \: find : }}}$

• Find the length of the median of the trapezium?

$\large{\underbrace{\sf{\orange{let's \: understand \: the \: concept:}}}}$

As we know, Median of the trapezium is the line that joins the mid points of the non - parallel sides of the trapizium. The median of the trapezium is parallel to the two bases ( 13cm and 9cm ). To find the median of the trapizium we need to apply this formula, Median of the trapezium = Half the sum of the base lengths.

So , let's do this ::

$\large{\underbrace{\sf{\red{Formula:}}}}$

$\sf Median \: of \: the \: trapezium = \dfrac{1}{2} \times \bigg [First \: base + Second \: base \bigg]$

$\sf \blue{ \huge{{Solution : }}}$

$: \implies \sf \bigg(\dfrac{1}{2} \times \bigg [13 + 9\bigg] \bigg)$

$: \implies \sf \bigg(\dfrac{1}{2} \times22\bigg)$

$: \implies \boxed {\sf \orange{ 11cm}}$

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Answer 2

Question:-

1. The base of a trapezium are 13cm and 9cm. Find the length of the median of a trapezium.

Given that,

• The base of trapezium = 13cm and 9cm

Let:-

• B = base

To find,

• Length of the median of the trapezium

Solution:-

Formula of trapezium = $\rm \dfrac{1}{2} \:[first \: b+ \:second \:b]$

✔ $\rm(\dfrac{1}{2} \times[13+9])$

✔ $\rm\dfrac{1}{2} \times 22$

  ⇒ 11 cm

Know more:-

• A quadrilateral of which only one pair of opposite side is parallel is known as Trapezium.
• Isosceles trapezium opposite angels are not equal

⇒ Diagonals are equal

⇒ Adjacent angles are equal

• Scalene trapezium opposite angles are not equal

⇒ Diagonals are unequal

⇒ Adjacent angles are unequal